{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Kats 202 - Detection with Kats\n",
    "\n",
    "This tutorial will introduce detection in Kats, including change point detection, outlier detection, and trend detection.  It is a more detailed and in-depth introduction than the one provided in Kats 101.  The table of contents for Kats 202 is as follows:\n",
    "\n",
    "1. Changepoint Detection      \n",
    "    1.1 CUSUMDetector      \n",
    "    1.2 BOCPDetector      \n",
    "    1.3 RobustStatDetector      \n",
    "    1.4 Comparing the Changepoint Detectors      \n",
    "2. Outlier Detection      \n",
    "    2.1 OutlierDetector      \n",
    "    2.2 MultivariateAnomalyDetector      \n",
    "3. Trend Detection      \n",
    "    3.1 MKDetector      \n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Note:** We provide two types of tutorial notebooks\n",
    "- **Kats 101**, basic data structure and functionalities in Kats (this tutorial)  \n",
    "- **Kats 20x**, advanced topics, including advanced forecasting techniques, advanced detection algorithms, `TsFeatures`, meta-learning, etc. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<module 'logging' from '/usr/local/opt/python@3.7/Frameworks/Python.framework/Versions/3.7/lib/python3.7/logging/__init__.py'>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import logging\n",
    "from imp import reload\n",
    "from datetime import datetime, timedelta\n",
    "import sys\n",
    "sys.path.append(\"../\")\n",
    "\n",
    "from kats.consts import TimeSeriesData\n",
    "reload(logging)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. Changepoint Detection <a class=\"anchor\" id=\"kats_basics\"></a>\n",
    "\n",
    "Changepoint detection tries to identify times when the probability distribution of a stochastic process or time series changes, e.g. the change of mean in a time series. It is one of the most popular detection tasks in time series analysis. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## **1.1 `CUSUMDetector`**\n",
    "\n",
    "\n",
    "CUSUM is a method to detect an up/down shift of means in a time series. Our implementation has two main steps:\n",
    "\n",
    "\n",
    "1. **Locate the change point:** This is an iterative process where we initialize a change point (in the middle of the time series) and CUSUM time series based on this change point. The next changepoint is the location where the previous CUSUM time series is maximized (or minimized). This iteration continues until either 1) a stable changepoint is found or 2) we exceed the limit number of iterations.\n",
    "2. **Test the change point for statistical significance:** Conduct log likelihood ratio test to test if the mean of the time series changes at the changepoint calculated in Step 1. The null hypothesis is that there is no change in mean.\n",
    "\n",
    "By default, we report a detected changepoint if and only if we reject the null hypothesis in Step 2.  If we want to see all the changepoints, we can use the `return_all_changepoints` parameter in `CUSUMDetector` and set it to `True`.\n",
    "\n",
    "Here are a few additional points worth mentioning:\n",
    "\n",
    "* We assume there is at most one increase change point and at most one decrease change point. You can use the `change_directions` argument in the detector to specify whether you are looking an increase, a decrease, or both (default is both).\n",
    "* We use Gaussian distribution as the underlying model to calculate the CUSUM time series value and conduct the hypothesis test.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The full set of parameters for the `detector` method in `CUSUMDetector`, all of which are optional and have default values, are as follows: \n",
    "* **threshold**: float, significance level;\n",
    "* **max_iter**: int, maximum iteration in finding the changepoint;\n",
    "* **delta_std_ratio**: float, the mean delta has to be larger than this parameter times std of the data to be considered as a change;\n",
    "* **min_abs_change**: int, minimal absolute delta between mu0 and mu1\n",
    "* **start_point**: int, the start idx of the changepoint, None means the middle of the time series;\n",
    "* **change_directions**: list\\[str], a list contain either or both 'increase' and 'decrease' to specify what type of change to be detected;\n",
    "* **interest_window**: list\\[int, int], a list containing the start and end of the interest window where we will look for a change point. Note that the llr will still be calculated using all data points;\n",
    "* **magnitude_quantile**: float, the quantile for magnitude comparison, if none, will skip the magnitude comparison;\n",
    "* **magnitude_ratio**: float, comparable ratio;\n",
    "* **magnitude_comparable_day**: float, maximal percentage of days can have comparable magnitude to be considered as regression;\n",
    "* **return_all_changepoints**: bool, return all the changepoints found, even the insignificant ones."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Review Basic Usage"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We begin by reviewing the basic usage of `CUSUMDetector` from the Kats 101 tutorial.  This simple example is the same one we first introduced there."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import packages\n",
    "from kats.detectors.cusum_detection import CUSUMDetector\n",
    "\n",
    "# synthesize data with simulation\n",
    "np.random.seed(10)\n",
    "df_increase_decrease = pd.DataFrame(\n",
    "    {\n",
    "        'time': pd.date_range('2019-01-01', periods=60),\n",
    "        'increase':np.concatenate([np.random.normal(1,0.2,30), np.random.normal(2,0.2,30)]),\n",
    "        'decrease':np.concatenate([np.random.normal(1,0.3,50), np.random.normal(0.5,0.3,10)]),\n",
    "    }\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tsd = TimeSeriesData(df_increase_decrease.loc[:,['time','increase']])\n",
    "detector = CUSUMDetector(tsd)\n",
    "change_points = detector.detector(change_directions=[\"increase\"])\n",
    "\n",
    "plt.xticks(rotation=45)\n",
    "detector.plot(change_points)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lSGZyrB+MEPJ7ueCMvgXKYDqeWlRjAE5l0Lw7pfz846C37Dbd6CaKpSw3UcjvZfNItCmWwed/sZ9YMss/vX4HQV/h81rTX6dlcMSyDOY6wFKthePTCTI5xcYhK3i+qi/EV26+gvPX9PKOL97f1DTbA6djPNtEF1+3U/6WzUYp9boq698GvK3E8v3AJYtf0T5mkxmSmRyjPUH6wtahn55LERmq+jGURccLto728JOnxtquDI5MWm2VtaVy6cZBvnrfYTLZHD6vh6n5NJtHooteF/I3/w690L66kpvI+uy7yU0US2bzcp+3ppfHjzUe5DwyOc/G4Uj+pkKzpj/EiccSKKUWTKarRC6neNR2E812mWVw2D5/tTIAGIwGeM+15/GGz93L/vEYq/pCTdnXXCLTVeddq1lRFcjj9oV7tDfIUDQINN6sTtcYnLXKtgzanF6q00rX2cpgx8aBBcVnU/HFHUuhkE1USRnUmqaYdxO5yCbqttTSqC33Oat7eXYi3rD8J2cSrO4LLlq+pi9EKpNjMu7+JmP/eIxYKkvI7+k6y+DwhKUMNjiUAZD/bE420TKIpTJdGVNpFStKGei7eJ1NBI0rA/2eW+y77fZbBrYyGChYBmAVn+VyiplE6ZhBqErM4KkTs1z4we+z99Sca1n0hajclDMoBJBb0T67FWRzivl0Nl87cd6aXpSips+lFCdnkqzuXXzHu6bfWlaLq2iPHS947uahrrvYHZ6Yx+sR1vYv/CxG7c/GWTTaKLFkhlgqa5oN2qwsZTBXsAyGbWXQaK2B7ku0xTbv2x1APjIZZyDipzdk3f2vHwwz2hvkgUNTzCYyKLW4SR1UVwb7x+bI5BTP1FBxmx9sU8Ey8Hs9+DzSNea6tpyiwYJlAI1lFOVyilOziZLuj7wymHGfIrrnyDRhv5ftGwaIpbJkc91zsTs0EeeMgRA+78JLU1/IR8jvaaplMJvIkM0pkiajCFhhymA8bxkEGOrRlkFjdxpjs0kGIv68pdHuZnVHp+bz8QIAEeHSjQM8cGiSKbtjaaUAcrlArm5j4axZqEasypSz/L67aKaBPiZtGWwajhL0eRrKKJqMp0hnVVk3EcCJafef+yNHp7loXV9e6ce6yAV3aCK+IF6gERFW94U4OdMcyyCdzeWVQLece61mRSmDsbkkXo8wGAnQG/Th90rDloFOVfV6hN6grwMsg3nWDyz8MV260So+2zdmuTKKm9RB9dRS3eBurIZ+TrMuLAOwXEXd4ibKKwM7gOz1CGev7mlo6pm+wK0pYRmM9gbxCJyYdmcZZLI5Hjs2zbZ1A/nPvZviBkcmSysDgFW9waZZBk73Wbe50lrFilIG47MphqMBPB5BRKwq5Aab1VnmvXVH1xvytTVmYNUYxBdYBgCXbrLiBj9+0mrzUUoZFLKJSpvM2qqoxTKYS2TweYSgr/JpFvZ3k2VgyaljHQDnru5raOrZSTsJoZSbyO/1MNITdF1rsHdsjkQ6x8Xr+/MWWbfUGsSSGcbnUqwfLKMM+kJNixk4P5NuspxayYpSBmN29bFmKBpsPIA8Z1kGAH1hf0vdRKdmE3zsB0+V7YF0OpYikc4tUgbb1lnFZz960hrg3h9eHEDWF+xy2UTTtmUwXsOPUbeiqJYSGQ74ukcZpBZbO+eu6eHUbJLJOs+lk3ZwuJSbCGBtf4gTLt0jur5g2/r+vCurldbqbCLNKz/+80XdcetBJz+UswxW94aaaBlkSz5eyawoZTBepAyGo4GG3ERKKU7NFN6zL+Rv2Q/vyGSc3/z03fyfH+3lDru18eJtrB9T8Z1VyO/lwjP68n1qSlkGHo8Q8ntIVnET1WoZVHMRQXe5iXQKaWSBMugDqNtVpN1Eq0pkEwGs7gu5dhM9cmSa3qCPM4ej+QaBrXSD7D01x+PHZ/jOw6XPyVo4VCatVLO6L0gslW2KpTOXLNxQdVNacytZUcpAN6nTDPc01p9IF7HpH3Gr3ET7x+b4zU/fzelYip6gr2zjrnzB2VB40boddooplM4mgsoDbibj2k1UW8zAjTKw3ERL+4OcjKU47vIC62SuRFX1uXZGUb2uopOzCYajAQJl3Gm1VCHvOTLFRev68XhkSdxEWq57D5yusmV1dI1B2ZhBE2sN5oxlsIgVowx0K4qFbqLGlMGYo4gNLDdRsy2Dx4/N8JufuZtkJseXf/cKLjtzaNGMAk1xjYETHTeIBrz4vaW/9krziKfrzCZypQzakE30B195kJd/7Gc8eaK26uG4fWHVFchg3bH2h/11WwanZkqnlWrW9IeYSWSqKsxUJscTx2e5eH0/wJIEkHUs4/HjMw3fCB2aiBMNeBksYbkC+TqMU03IKHJaS8YysFgxymB6Pk06qxZaBtEAc8lM3QNATuXN+9YEkB84NMlNt9yN3+vhq793JRet6+fSjQPsPTWX9+E7Ka4xcHLpxgEABkoUnGnCfm/ZeQbaTRRPZV3/eKq1r9YstZtobDbJL/eOM5fM8NbbdueryN0Qs5VW1KEMRIRzV/fWbxnMJMvGC8CZXlpZzqdPzpLK5thmK4Neuw1IK1tSaJmUouF5zVbr6kjZGJNWmLV8X+VwKkiTTWSxYpRB8V080HBLCmcRGxRiBs2oaHzi+Axv/Ny9DEYDfO3tV+bbXeTbUttVpk6OTM6XtArAshZW9QbLuojAamNdvs4gla+lGJ9193m5jRksdTbRXY8eJ6fgH37rEiZiKX73C7tdN8rTF45IUfO9c9f08vSJ2bq++xMziZLVxxq3Vcg6eHzxugGgUBjXastgVW8Qv1e490CDyqBCWik0tyXFwmwi4yaClaQM5goFZxp9cTtdZ3qp7qCoYwZ9YR/ZnGrKhe1f73kWpeBrv3flgoDwxRsG8Ag88OziuIFuXV0KEeFNV2zimgvXlN1n2O8peYeeSGdJpHOcZVdZj7l0Fc0mMxVbUeT3GyivhFrBdx8+zjmre3j1jvV8/Kbt7Dk6zR//20PkXFTqxlIZAj7PIlfbOWt6mU1mOFZjh9FMNsf4nEvLoMpF8JGjU/SH/WywY0Y+r4eQ39PS1Mnj0wk2D0e5ZP0A9+6vXxkopTg8MV82eAyW2yvs9zbfTWQsA2AlKYPZhS4dsALI0JhlEPB68h1QtXumUVdRJpvje4+e4KXnr1rkS+4JWkNVioPIhRqD8j+m33/p2fzhy84uuz5cxl2j4wVbbevEbdyglmyipZpncGI6wX3PTvCqi88A4BUXruHPX3k+dz16go/84Kmqry8XBzlvjQ4i1xaDGJ9LoRSs7ndhGVRRBnuOTHPx+v4FbpaeYOsy3MD6PFf3h7h8yxCPHJ2u2+UyPpdiPp2taBlYVchBTjah1mAumSHo8xANeI1lYLPilIEzZtBos7qxWSsgrX98fbYyaPTHt2vfaSZiKX7tkjNKrr900yAPHZ5acCdbrsagFkK+0hdlHS/Qrio3hT/FDd0qEfZ7yeTUkkyduuOR4ygFr7p4bX7ZW59/Jm+4fCP//JN9/Nt9hyu+Pp7MLig405yzuhcRuKfGu2Pt8qjkJooEfPSFfBXdRIl0lqdOzLJtXf+C5b0hX8uyiZRSnJhJsLY/xGVnDpPNqbpHVBbSSiufv6v6mlNrMGcr9UjQZ2IGNitGGYzPpfB7ZYHPvNFmdVoZaLRLpNHCs+/uOUZv0MeLzik9C/rSjYPMJjLsHSt0yixXY1ALoTJ36FNxPcDH6szqxjJw06ROE7aDsUvhKvrunmNcsLYv31gQrDvOv7jhQq7cMsyHbn+sot8/Zo+8LKY/7OeV29by/+55Nv95uSGvDKr06F/bH66oDJ48MUsmp7h4/cCC5T1BH3MtqoqfjKdJZXKs6QvxnE2DeD1St6voSIk5BqVY3RdqyoAbndzQE/QZy8BmxSgD3UPIaUL3hfx4PVJ3s7piZdAXbtxNlMpYLqKXX7A63yKiGJ0Z5Kz6PJpXBvVbBmG/l2SJdhS6Sd1IT5CBiL8mZeAmZhBZotGXRybjPHhoilddsnbROr/Xw0vOW8V8unJRkx55WYrff8lZxFJZbv3lQdcyFZRB+ZgBWG6kSm4i3bZap5VqeoKtswy0clrTH6In6OOiM/r4VZ1B5EOn9VCmyspgVW+QU7PJhpM0rJkUPiIBr4kZ2KwYZaDHXTrx2E3r6nUTnZpNLohB9IUaL///xd4xZhKZkhcszZkjUQYifh54diq/TN9ZrWvETeT3lLwg6zTWgYifkZ6gq2wiN1PONLpJXqvzvXXl9qu2lXa/aatxqsIgGT3yshTnrenjmgtX8y+/POD6huDkjNU8cbinsjJY21e58GzPkWlGegKL5gBEW9g8UbfV1jGNy7cM89DhqbrShA9NxFnVGyx7A6RZ3Rck3oQqZO0migZ8pjeRzYpRBtoyKGY4GqipqlaTzuaYiKWK3ES2ZdCAm+i7Dx+nP+zn+WeVdhGB5dbYsWFggX/2yOQ8/WF/Pm5RD+WKzvKtryMBRnoCLi0De8qZy2wiaH0r4TseOc7F6/vZOFz67lNbdtMVvj99R1mO33/J2cwmMnzBpXVwciaR73pbidX9IcbmkqSzpeMqjxyZZtu6/kU5+r2h6he77+45xt/c8bgreZ3otto62+myzUOksjkeLFMUWYlqaaUa7U5rtJW1dhNFgt3TJLHVrBhlMD63sBWFpt4qZJ2OWjJmUOedWCKd5QePn+SaC1eXbU2guXTjIM+cmstfuEp1K60Vq+hs8eSnqXgan0eIBryWZeBKGSxu21COpZh29uzpGHuOTC8IHBejezZVUuaxZHZRjYGTi9b189LzVvH5Xx5wdfd6crZyWqlmTV8IpUoH7+OpDM+cmmVbUbwAdMygshzfe/QEX6kSOC/Fiel5PFL4DTz3zCFEqMtVVC2tVKP31WjhmeXusyyDbunq2mpcKQMRuVVETonIo2XWi4j8HxHZKyJ7RORSx7o3i8gz9t+bmyV4LWRzitNFd/GaoTr7E+mT0dlcLOT3EvB56o4Z/OSpMeaSmbJZRE50e4mHDk8BlWsM3BL0e1GKRZOfpubTDET8iIitDFrlJmqdMviu7SK6/uLyn23eTVRBGcTLBJCd/P5Lz2YqnuZf7362qlzVWlFotPvneAlX0X0HJ8kp2LlpcNG6HjubqJKPfXo+zWwiQ6aM1VGO49MJRnuD+ZqL/rCf89f01dynKJXJcXzanTLQlkGjtQaWm8hLNOglbnoTAe4tg9uAayusvw442/67GfhnABEZAj4EXA5cBnxIRBafsS1mMp4im1MLCs40w9EAp2vot6MpVdEMVlB6Zr6+O43v7jnGcDTAlVuGq257yYYBRKwgslVjMN9QJhGUH3AzHU/nL5SjvUHmkpmqd/Gd5ib67p7jXLpxoGyFNhQsg8puourpsts3DPDCc0b57M/3V42DnJhJuLIMCu6Rxcrgl3vHCXg9PHfz0KJ1PUEf6Wzl0Y66CWElJViKEzOJRQN5rN5ZkzWlCR+bmienqmcSQeXPoRZ0DUzExAzyuFIGSqmfAZVsvxuB/6ss7gEGRGQtcA3wQ6XUhFJqEvghlZVKSxjPt41YfAc2FA0wk8iU9cWW41SJIjawqpDLzRuoRDyV4T+fOMW1F61ZNP+1FD1BH+eu7uWBQ1NMxKyCnYbdRHl3TbFlkMr3NNJxl2q1BrMJ96mluulbq9xE+8bmeOL4TL7QrBzVAsipTI5UNke0RJ1BMX/wkrOYiKX40r2Hym6TSGeZiqdLTjgrZm2FlhS/3DvOjo0D+e/PSa+LzqX6eGtJidWyrCkKWF+xZYhEOscjR6dcv89hO/lhg4vz1wr6ehuKGThrYKJ2zKAZLWS6nWbFDNYBTqfjEXtZueWLEJGbRWS3iOweGxtrklgWY47Zx8XoWoNaB5Po9xwues/ekL+umMGPnjzFfDpb9YLlZMfGQR48NJkv2Kl01+uGkL/0gJupeDo/N3mk1+5PVMWaqqnOoMVuou8+fBwRuL5CvEDL4fdKWcug1CyDcuzcPMSVW4b5zM/2l1Vy+ap4F8pgIOIn4PMsSi+djKV4/PgMzz9rpOTrtEurUmGVVgaTFbKoSlHKMtDWSS3Fd/r8LRfYL2ZVX6ihmIHz3IwErBYylSynlULHBJCVUrcopXYqpXaOjpbPpKmH8bnSLh0oNKurtfBsbDbJQMRP0LfwbqwvVJ9l8N2HjzPaG+SyMxeb+uW4dOMAs4kMP33aUp7NchMVZxRNxdP02y4UHYSvFjeIJTNEAt6qWTLgdBO5V6KJdJZ/+eUBV3ez//nkSXZuGqxa2CUi9IcDZZWBLk5yExQH+IOXns3YbJKvlgnOui0407KtLTHX4O79p1EKriqjDHqqpDuns7n8xbGWG6K5ZIbZRIY1/QtvQIZ7gpy9qqemIPKhiTgBr6diFbaTVb3BhmIGMYcy0Dcrpgq5ecrgKLDB8Xy9vazc8iWlnH8fKvcnevDQJJf9zX/kh244OTWbWOQiAh0zqE0ZzCUz/PipU1y/ba2ri6dGB5G/8/AxoLEaAyjMQU4UtfSenk8zYI/KLCiD6paBm1YUUHs2UTqb491feoC//M7j/McTp6puf2I6wVZHxXEl+sM+pudLXxRLzTKoxBVbhjh3dS8/fPxkyfXa1eEmZmBtt1gZ/GLvOD1BH5cUFZtp9LSzcm4ip0usUn1FMVqO4roGsOIGuw9OuA5IH5mwkh88Ls/91X2h/NzoetAX/mjQlz/3THpp85TB7cBv21lFVwDTSqnjwPeBV4jIoB04foW9bEkZn0sR9HlKuiwqtaT4/mMnOTWb5Hb7YuukuPpY0xf21ewm+uHjJ0hmchXTHktx5nCU/rCffWMx+kK+iu2p3ZBXBo4fhr5z1MFVrTyrzUKeTWTyF6Jq+L0efB5x9YPM5hR/9NWH8kqg2t2sUoqp+YJlU42BSHnLoBbXF1h38zs3D/JwUR8pzQkXfYmcrC1Rhbxr7ziXnzlUNs6Un3ZW5px0Kr7JJrXRuHzLMLFUlsePu2vad8ieY+CW1X1BTs4k6vbz6/kOPSFf/obFBJHdp5Z+GbgbOFdEjojIW0Xk7SLydnuTO4H9wF7gs8A7AZRSE8BfAffZfx+2ly0pxQ3lnOSb1ZW409UpcqVmDlvVx4t/CNZMA/d3WIl0ln/8j2fYMhrNzypwi8cj7LBbUzTqIgKHm8hxhz7lqD4GCPq89IV8riwDN5lE+X27mHaWyyne8/U93LHnOO+/7jy8HskXxJVjPp0llckxWGGoj5P+sL/sHbKWr1SjunJs3zDAbDLDPkcfKc2pmQQBn6fkTOpSrOmzlIG+CB6dmufg6XhZFxE4pp2VsQyccYJaYgbHK1gGl9uuzp8/M+7qvQ5Pxqs2qHOyqjdEIp2re2hPbEHMwGsvM5aB22yi1yml1iql/Eqp9UqpzyulPq2U+rS9Ximl3qWU2qqU2qaU2u147a1KqbPsv39p1YFUonj2sZOBSACRxW6ieCrDI0emGY4GePz4DPsdP2alVFnLoDfkI5HOuU6t+8SP9vLs6Th/feNFrs1kJ1qBNJpJBKWzifSdo9PqGOmtXmvgtn21ptq0M6UUH7z9Ub7xwBH+6GVn83sv2spA2F/1ApZXZi6tpv6wv3zMwOFecIuePV2qKveknVZabrJXMWv6Q6Qyufwx/3KvdbEtFzyGgjIod+F0Wlb1NNgrziYCy1q4csswn/35/qrvOZNIMxVPu0or1ehZyPU2rMt/jwETM3DSMQHkZqCUIlvCHC+efezEa/cnKnYTPXhoikxO8afXnAvAnY8UrIPZZIZkJlc6ZhDWbayr32U9c3KWz/xsH/9lx7qKd3eVKCiDxi2DkK+SZVC4sx7pCVZNLdW9X9xSadqZUoq/u+tJvnjPIX7vhVv4w5eebcvkr3qx0a4Pt3ffFZVBqnZlsGUkSm/Ix4N2caCTkzNJ1y4iWDz+8pd7xxnpCXLO6vLxEG2dlbvY6dqCSMBbk5vo+PQ8AxF/2V5CH/y1C5iZT/OxHz5d8X10PG5DDedvoy0pdDC9N+TLx3/MHORlpAym59P8xqfv5ku/WpzXXckygNItKe7dfxqPWH3vn7NpkDseOZFfpzMZylkGUL0lRS6n+LNvPkI06OPPrz+/4raV2L5xgIGIf1G3ynoIBRanlmpl4BxSPuqiJUXNyiDgK6sM7tk/wS0/28+brtjE+647L38nPRAJVA16TpdQZpXoD1vDYErdVGhXgps6A43HI2zfMLCgw6zm5GzCVSaRpjDkZh6lFLv2neaqrcMVLYuw34tHyscMtDLdPBytyU10YnpxWqmT89f28aYrNvHFe57liQqxg7wyqClm0NgsZKeFpzvQGjfRMlIGfSEfPo/wjz98esFdeSabYyJeuhWFZii62DK498AEF57RT2/Iz/Xb1vLE8Zm83zefnVRCwfS5bFb3tfsPc9/BSf7suvOrdqysRE/Qx6/+7GXcuN19fUI5dMwg6VQG89rN4rQMAlVHX9YaM6jkJjp4OgbAO67euuDCNxip7iaaLIp5VEO7w0p9f/W4iQB2bBjg6ZOzi+7OT04n8i4PNxRmISd55tQcY7NJnndW5Wp1EanYxlr3nVo/GK7JTXRiZnHBWTH/7eXn0B/2V5wRUWuNARQKPeu1DOby36PXWAYOlo0yEBE+cP0FnI6l+NRP9uWXT8SssYKVlMFwkWWQzGR58PBUPuf/um3W3OA77UByvi9RiR9yr4tpZ+NzSf72zie57MwhXrtzvdtDLEvA53Htd65EqESdgb5AOLNxRnqCzCbKt6RQStUcM7DcRKU/s3IFfv3hANNVLmA6wOw2gFypJYWuMwhXabNczI6Ng+RUYWA9WBekWCrrqvpYM9oTxCNWgzgdL3ieC/dib6j86MvJeJqBSIDBSKBmy6BU8NjJQCTAn15zLr86MJHvDeVEKcVjx2Zq7rYbtesD6m1JMZfMEvB6CPq8BcvApJYuH2UAsG19P6/esY7P/+IAR6esXuun8nfx5S8GxW6ihw9Pk8rk8lkRa/vD7Nw0yB123KBgGZTIJgprN1H5H9bf3PEE8VSGv331RU25iDcLneLpdBNNz6fxCAvSRPVciHKFeslMjkxONS2baHwuSX94cYGfG8tAu5Hcpt1WalYXtwvpag30X7JhACg0FYTaCs40Pq+H0d4gJ2YS/HLvOJuGI65iRZZlUPpzmp5PMRDxMxC14i9u0jVTmRzjcynW9FVPWrjpuRu58Iw+/vbOJxYo+/G5JDf/6/18+6FjvOz81VXfp5hVffUXnsWSmbwSCPu9iJgAMiwzZQDw3685FwE+8r0ngcrVx5rhaCDfzA7gV3ZKqbPx1/UXr+XJE7PsPTXH2FySgM+Tv/A7KcxBLv3j++Xecb754FHe8aKtnLWqt/YDbDFhv3dBNtGU3aTOeQHMF56VCSLnA3RNyiayYj6LlflgNMB8OlsxC2kqniLs91YdmqKpbBm4L6RzMhQNsHk4siBuoJVBLW4isILIRybnuXf/BFdtdZd0EA16y/rEJ2NpBiN+BiMB0lnl6g65kElUXXavR/jLGy7k+HSCf7Yt9h8+fpJr/uFn/PTpMT5w/fl85DcudnUcTqyJZ/VaBgUXpohYA25MzGD5KYMzBsK87QVn8q2HjrHnyJSjL1HlmIFSBZfIvQcmOG9NL4PRwgXouovWImJlFY3NLB6hqSnMQS59p3HrLw5wRn+Id774rLqPsZUE/QvnIFvtqxdeiPWFuVwQuR7feqVsonJpvP0uhtFMxdOu4wXO9yzlP48lszUFj53s2DjIg4en8nfe9VgGYMUN7js4wWwyUzVeoOkJ+cumlurvVycIuGlJcSKvDNylM+/cPMSvbz+Dz/xsP3/4lQf53f+7m1V9Ib7z7ufzthdsqSulenVfqKGYgbMNeSRQ3kW5klh2ygDg7S/aykhPgL++44l8oLOiMrDXTcRSpLM57n92clGPoDX9IctVtOc4YxVSVaMBHx4p7ybaPx5jx6ZB13eqS0044Flwpz0VTy1ysehjL6cMaq3UtfZbesqa3k+p70/HASqlRGqfuFv6qgSQ67EMwCo+G5tNcsxOCy20oqhRGfSFSGctheLWMugN+pgrcz5OxVMMhP35z8hNS4r87OMaZH/fdefj8wjfefgY77x6K99+1/M4d039lrGlDBLUU4McK8p0iwZ9JmYA1Hdmdzi9IT9/9LJz+MC3HuX0XJJIwFvxR+xsSRFLZYmnsiUbxl2/bS1/8Z3HOTY9X3bmgMdjZW+UCthlsjkOT8R5pR2Q7kQsN9HCmMFQtNgyqNysLt++usZsolLzl6G8ZaDv+CtdwKbnU64LzqCytRFzMdimHLpS/MFDk6wbCHNyJrGgUZpb9N34BWv7Fn0v5aiUTTQZTzEYDbhSrJq8MqgSQHaypj/EF992OT6PcHGJiWy1sqo3SDKTI5tT+Gq0LOaSmQWfneVGM5bBsrQMAG567gbOWtXDvrFYxXgBOFpSxFL5eEEpZXDdNstVNJvIVHzPvnDpZnVHp+bJ5BSbhqO1HMqSEip2EznaVzu36Q36yhae6QtPr4spZ5qw30smpxZVbsdTVtZNKcugoAwqWwaDUfdyBH1ewn5vSQUTT1UeeVmJ89b0EfB5eMiuRD41k6w5XgAFP71bFxHY085K3Jwk0lkS6Rz9YX/BTeRGGcwkiASstiS1cOnGwaYoAii0/a5liI6muIliJOAzyoBlrAx8Xg9/9srzgMouIlhoGdy7f4ItI9GSfYdW94XyQeVS6zV9ZWYaHBi38uXPHOlwZVCUWlrKzWK1pCinDNxPOdOE7TvuYlfR+OziWdOawt1s5ZhBf9i9mwgsJVPKMqilE2sxAZ+Hbev685XIJ2cSNVUfa7aMWNXGV5+7yvVrtBukuFleoaAwULObaE1fqK2ZcKvt86HWoVRgt0pxWHhRF32xVgLLVhkAvPjcVfz69jN4wdmVfas6UDw+m+RXBycqzhS4fpvVWbSSZdAb8pWMGTx72iqw2VRDgc1SE/Z7Sdh3W9mcYiaRKZmWOdITqKAMdN//2txEAPH0QiWqYz6lCvyquYmUUrYyq62ba7mWFPEGAshgxQ0ePWqlLbsdd1nMJRsG+M8/eZGr+gKNzuoq7sypazAGIv78Z+TGMjg+PV+Ti6gVrG7AMogVFURGgmb0JSxzZSAi/ONNO/ijl51TcTu/10NfyMfd+04zm8hw+ZbyyuBVF6/luZsHee7m8h1Gy7mJDp6OEQ14S17YOoWQ35NvYa2PodTFdKSnfLO6uRpGXmrKDdapNIsi7PcS8HnKuoliqSyZnFrQSsMNfWF/yTqDRgLIYMUNkpkcTxyf4dRMktV1XlDdzmbQ9JQZfTkZK3y/fq+H3qDPlWVwciZZU/C4FWgXW6pGyyCXs9Jnnd9jT8BH3KSWLm9lUAsjPUHue9bqrn3ZmeX9scM9Qb729qs4e3X5TIjeUOkA8sHxGJuGox1VaFZM2BEzmKqqDMq7ibweyY/RdLXfMkNGKtWJiAgDFVpO6zTJgVrdRCWUuVKqoQAyFDqY/uSpMVLZXF1uonrIt7EuOid1R1r9+QxE/VUtg1xOcdJFK4pWEwn46A36anYTaQvAOa0uYgLIgFEGeXStwbqBcMOzhK2YQWk30eaRznURgXVR1tlE+o671MV0pCfIVDxd0kzXrShqUXraTVScUaQtg3KZM1YbhdIXsOkKyqwSpWYaJDM5coq6A8gAZ/SHGO0N8r3HrKaHtaaV1kt+9GWxZaBjBnaA3U1LivFYkkxOVW1FsRSs6gvW7CaK5V2YhXMiGrDcRPUOy1kuGGVgoy82lVxEbukL+5lLZhYE7DLZHIcn42zu4EwisLJpii2DUlPCRnp10H2xdTBbY8dSKO8mGp9LMhQN4C8zyctqY10uh762jqXO9yyOGdRTO1GMiLBjw0C+i2c9MYN66C1jGRRmPdiWQSRQtVmdTitdKkVWidWOmgu3OJvUaSJBLzllKfyVjFEGNroJ2uU1DKQvR1/Ih1Iw5whKHZtKkM6qjlcGTssg3/65ZABZt6RYfPGYS2Tyldi17BcWu4nKtaLQDET8ZaedaYuh1phBf9jPfDpL0jELWvuU3c4/Lsd2u94Alu6Cmh/tmCxWBtY4WP3ZW72eKiuDwoSzxocpNcrqvlDNMYN82rPj/DQDbiyMMrDJWwYV4gVuKdXGWrdh7uRMIrDu0NNZRSabcwyGKe0mgtJVyPX08NEX2fmibKJKg4mgsmujkmVTiVKFZ/nBNg1kEwHs2FBIPKinzqAeyk07m4qnF3RzHYwEmIpVdhPl22i46EvUalb1Wm6iWmwD55QzTaGN9coOIi/LCuR6uOGSdfi9nqZcrPVdhzOIrJVBJ9cYAPmgbyKTy7sRShUX6YyoUnMN5hKZml0zBTfRwju9sblkxdnQ/RE/0/E0SqlFMYqpOgPI/bbsM/PpfD1JvbMMirl4fT8eoWQX1lahz8diN9FkUdrtQMTqYZTO5sq65Y5PJ/B5hJFoByiDvlB+uqHbb2WuxPeoFXy5Ku2VglEGNueu6W2oV4qTUv1tDo7HCfu9Vauh243Tdz89n6Y35MNX4sKgYwalLIPZZIb1NUyuAqebqPCDVEoxPpuqmIo7GAmQyuaIF6ULgmUZRANW+mktlLYM7ClnDQSQrdf7OKdCJlor0J9L8cWuuInfoKPwrNx5enLams5WT3O5ZqNjLqlMzr0ySCx2E0WCZsANuFQGInIt8HHAC3xOKfX3Rev/AXix/TQCrFJKDdjrssAj9rpDSqkbmiB3R9NXYsDNs6djbBqOdHRaKRQG3CTS2YoFW5GAj0jAWz5mULObaHEAOZbKMp/O5ucnlELHA6bm04uUwWSZ6ulqFDqXOpRBkywDgA9cfwGp7NK5JPxeDyG/Z7EymE/lK5phYXuPcsrg+HT700o1q3pD5LBqDdzeepSaY60tg5XexrrqmS0iXuCTwMuBI8B9InK7UupxvY1S6r85tv99YIfjLeaVUtubJnEXUJiDXLiYHDgd49wlviOshwXKYD5d0cUyWqIlxVMnZhmfS9YcHC01WGe8wnhRjW41MRlLLUoJnq6xfbVmoJRlUMLXXC/Pr1IR3wpKNU8s7tuUtwwqtAQ/OZPg/DP6WiNkjWwdjfIM1ncz4PI1syUKIqPGMgDcBZAvA/YqpfYrpVLAV4AbK2z/OuDLzRCuWyl2E2VzisMT8Y5uUKfJu4nS2aqzAIoLz5RS/I9vPUpf2M+br9pc+76LesTk24+7sQxKBJGLfeJuKWUZaLkiDQaQ20VPcGEzNqUU00V9m/K9nsrMNFBKWZZBB6SVglUAGg74qs4bdxJLZvB5hKDDdagV/NwKtwzcKIN1wGHH8yP2skWIyCbgTOBHjsUhEdktIveIyK+X24mI3Gxvt3tsbMyFWJ1LcQD52NS8nVba2ZlEUPDdJ9I5pksMtnFS3J/o3x84yq8OTvC+a89z3V7ZSaRopoEbyyDfYK1EemmpwTxu6CthGZQKPHYTPaGFbazjqSypbG5B2m21Xk8z8xnm09mOKDjT9Icti8dt8ZluKeJ01+pCQmMZNJebgK8rpZwqdpNSaifweuAfRWRrqRcqpW5RSu1USu0cHR1tslhLi9/rIez35t1EOpNoc4dnEkEhm2hexwwqzAJw9ieajqf5u7ueYMfGAX5z54a69h0uap9dsAzKX9ALrZcXX8BKtd92g9cj9IZ8C5RBPJXBW3RH2U30BBe2sS7VakQ3bCxXa1CYcNY5yqAv5Cen1IL50pUoVRCpLYOVHjNwc2YfBZy/7vX2slLcRJGLSCl11P6/H/gJC+MJy5a+cMFHe9DuVtrpBWdQiBnMpzK2ZVBZGUzGU2SyOT76g6eYiKX4qxsvqjvTJBzwLXATjc8m8QgMV0hj1DUE00UXsFzO6lg6WIdlAIs7l+qRl52eAFCOnuDC0Zf5vk2Ozyca8OL3Stm6jWPT80BtE85ajbbi7t532tX2xVPOwLoB8oixDNwog/uAs0XkTBEJYF3wby/eSETOAwaBux3LBkUkaD8eAZ4HPF782uVIr6M/0cHxGCG/Z8naDzSCjhmMzSbJKUq2r9aM9AZRCn769BhfvPdZfvvKzVy0rr/ufVvTzgo/yLG5JEPRIN4KyiXo8xIJeBddwOZSGXKq9r5EmuKWFI12LG03vSFffs4EOPo2Ob5fEanYkuLguC6c7JybGp9HiAZ97No37mr7WDK7KD1YRKz+RCvcMqh6diulMiLybuD7WKmltyqlHhORDwO7lVJaMdwEfEUt7PZ0PvAZEclhKZ6/d2YhLWf6Qj5m5q0L27OnY2zu8G6lGm0Z6LYDlXzuo3abiPd+4xFGeoL88SsqtwqvRti/cDD52GyqYisKTalmdVP59szNsQziqWzXBo9Bj3YsXOzyrTqKYjuVWlLsH4vRG/K5+k6Wkr6wnwcPTZFIZ6vOFp9Nlp7PYTqXuqwzUErdCdxZtOyDRc//osTrdgHbGpCva+kN+fN3WAfGY5y1qrYe9O1CWwa6IVm1mAFYhWcfv2l7vr6i7n0HvAsC0mNVWlFo+sP+fB8lTX5wSx0xA+t1AZ6cnsk/n6uj+V4n0RP0L4wZxBfHDKzn5dt77B+fY8toT8fd1PSF/KSyOe5/drLq0J9YMsO6gcVuLt25dCXTndGwLqAvbI2+tNJK57sieAyFbCIdLKzkZtEX6iu3DHPDJWc0vG/LTbQwZuBmENBgiT78xe2Za6Uv7Gd63pl9k2m4SV076Q35SGVz+eZ75dqTD0b8Zd1E+07F2NqB53FfyIfXI67iBnOJ0jMpokHfiu9NZJRBi7AG3KQ5Pj1PKpvriuAxkM+WyVsGFZTBxqEIf/qKc/jIay9uyt1i2DF/WSnl2jIYiAQWFUrpC1qt8481lpsole9xP5dc3O6imygecDMZL92qo1zjv1gyw4mZBFtGO+889nqEi9f3u4obFI+81EQCxk1klEGL6Av5mZnPcHC88+ceOxGxJpTpmEGli6mI8O6XnM36weYcW9hRZzBj546PuLAMSk07Kwx7rz+AnM6qvKUST2Ua7kvUTnqK+hNZBYWLv1sdQC4e9HLADh5vqXHk5lJx1dZhHj4yXbHZnFKKuVRpd1/UzEE2yqBV9IUts/zJE5bfudO7lTpx5vtXyiZqNpGAl3g6azWoqzDusphB+wLmHCaklUG98hc3q4sls13tJtJWjU53Ltd3atBWgrEil8m+sTmAjrQMAK7aOkI2p7jv4ETZbeKpLEqVLhyMBLwrfg6yUQYtotcOpj5ydJqgz7Nk826bgc7IqKfjZyOE/V6yOUU6q/LjLl1ZBhE/ObWwX/9kPEVvsHTHVTcUt6Sw8tO71zLQVfHaFTJVpoakXEuK/WMxRDq3VuY5mwYJeD0V4wb62EtaBiaAbJRBq9AzAB45Ms3m4WhHtPx1i84oqjcts+796gE3qWxNlkG+JYUj8Dk9n2agzuAxLGxWl81Z7qJutgyK3UTlOrqWa0mxfzzGuoFw1dTNdhHye9mxcaCiMqg0ujQa9BnLoN0CLFd0muX+8VjXxAs0+ge/lC4iKDSBi6czDsvATZ3B4gvYZDxV81AbJ87+RLr2oatTS0MLlcF0mVYd5VpS7B+b69h4gebKrcM8emx6UZqxplJ/qWjQSyyVWRQrWUkYZdAi+sKFE65b0ko1uj9RvdW79eIcrDM+l8TrEVftJAby/YkKF7BqHVfdvud0PF3oWNrNbiJHzEApxdR8uuRnO1jis1RKcWA8xpYOP4+v2jqCUnDvgdLWQSXLIBLwkVNWg8aVilEGLcJZgNWpftZy6FqDJVcG+WlnWcZmkwxHA67cawOOCV2aah1Xq+EMIDdzlkG7cFoGs0mr/qXU91vqszwxkyCeyrK1Q4PHmks29BPye9hVxlU0V2KWgUZniq3kuIFRBi2id4Ey6C43UTjvJlramEF+2lk6y/hc+WlbxQzkg72Fu9nJeKrutFKwLhhejzA1n8q3cejmOoOw34tHrCBqpVYd+rN0Wgb7xzo7rVQT9Hl57uahsnEDfaEvVWegFf1KjhsYZdAinG6iTR1uXhcT9LfJMnC4icZm3RWcQeEuXhdL5XLKsgwaiHmISL4/UX5UYhf3JhKxGrrNJjKFvkQlvl+f10Nv0LfAMtjf4WmlTq7YMsxTJ2dLzuaeyyv1xd+jsQyMMmgZYb8Xr0cI+Dys7aCWv27IZxMtcQDZ6SYan0u6SisF6wLW55g/MJNIo1Tj2VD9dksKHUCOdLFlAFbcYC6ZKTnLwMlAUXuPfWMxIgFvR7WuLsdVW4cBuGf/YuugkpsoEliYersSMcqgRYgIfSEfm4YiXZVWCs7U0qXOJirMoh132YpCM+DoXFquCVut9IetPj36jrKb6wzAnnaWyBT6EpVRlsUtKfaPxzhzpDu67m5bZ8UNHnh2atG6WDKDRwrnt5OCZdB6N1EsmeFd/+8B/v6uJ1u+r1ro7ludDmcwGugK07oYnU201DGDfMfUmQTprHJtGYBuvWxdwApukMYtg6l4irh9t9jNdQZgTztLZgrKsozlVzzTYP/YHDs2Di6JjI3i83q4YG0fjx6dXrRursTIS42OB8VbbBmcmknwX79wH48eneGidX3AeS3dXy0Yy6CF/ONvbefPX3lBu8WomXZZBtpNdHjC6udUi2XQHwnkp51pN0h/MyyD+XTXzz/W9ISsaWeT+SZ+pT8f50yDRDrL0an5jk8rdXLRun4eOza9oD0JVG5Dnh992ULLYO+pWV79qV3sH4tx3ppeJuZKd4dtF0YZtJCL1w+wscsyiQBC9kW50TvrWtHZRM/aY0JrGaLitAwK7ZkbUwZ62lm+zqCLA8hgublitmXQGyrfqmMwEshnHB08HUOp7ggeay5a108slc3PHteUGnmpyRc8tiiAfO/+0/yXT+0imcnx1Zuv5AVnjzBRplV4uzDKwLAIfZfUSGpmPfi9Hnwe4ZBtGayqwTIYdLg2Ch1LG3cTzdiWQcDnwV9nn6NOoSdYiBlU+mwGIpYFkc7m8mmlWzs8rdTJRWdYo1cfKXIVaTdRKaJF7TqayR17jvOmz/+K0d4g33znVWxb389gNEAinct36e0EutvuNbSEGy45g76wj1VtyB4JB7z59tm1xAz67WFCmWyOqXgakUJLiXrpD1sN8E7OJLq6FYWmJ+jPZxNVcgEOOgrPuimtVHP26h4CPg+PHZvhxu3r8ssruYmCPg8eaX6dQSqT473f2MMFZ/Rx2+88Nx+0H7bbfpyOJVkf6AzvQXff6hhawmA0wKt3rG/LviMBq3Op3ys19UbSVsz0fJqpeIq+kB9vg1lcev/Hpua73kUEdjZRMsNErHSTOk2hWV2K/WMx1vaHuip47vd6OH9N76IgciU3ka7DaHadwZ4jU8wlM7z9RVsWfOaF7rCl+yi1A1fKQESuFZGnRGSviLyvxPq3iMiYiDxk/73Nse7NIvKM/ffmZgpvWH7o4PVIT7CmVMZ8G4X5dNU7X7cUlMHysAx0f6JjU/MV4yn5C1U8zb7xWFdZBZoL1/Xz6NHpBY3n5hLl3URguUebbRns2ncaEasYzsmQbRl0UtygqjIQES/wSeA64ALgdSJSKkXmq0qp7fbf5+zXDgEfAi4HLgM+JCLdkaNmaAu6jXUtmUSw8G52sswUr1rR73FiJrEsLAN9IRyfq9yqo6AMUla30pHuiRdoLjqjn5lEhsMT8/llc8lMfq5DKSJ259JmsmvfOBee0bfofMwrg9jiSul24cYyuAzYq5Tar5RKAV8BbnT5/tcAP1RKTSilJoEfAtfWJ6phJaAvuqM1xAtgoZ97Op5qSvW0tgyyOdX1aaWwsCdPvws30d5Tc8wmMl1pGWxbZwWRHz1muYqUsqa3VRpdGg34mlqBPJ/K8sCzU1y1dWTRuoIy6C430TrgsOP5EXtZMa8RkT0i8nUR2VDjaxGRm0Vkt4jsHhsbcyGWYTnidBPVQqGNdZrJeLopmVDOmEU3dyzV9DoUWkXLwL5QPfDsJND5DepKcc6aHnweyccNEulcVaVuzTRonpvo/mcnSWVzXLl1eNE6HdMqnijXTpoVQP4OsFkpdTHW3f8Xan0DpdQtSqmdSqmdo6OjTRLL0G3owrPa3USFaWdTZaZ41Yoz7tDNsww0TsugUmppNODF7xXuP2Qrgy4qONMEfV7OWd2bTy/VKaO91WIGTXQT7do3js8jXLZ5aNE6j0cYjPg53WXK4CiwwfF8vb0sj1LqtFJKO78+BzzH7WsNBifaTVRLwRlYP3KPWP7wmUSmKQHkkL8wA3o5BJCdx1CpOltE7JYUaYI+D+sGwkshXtPZtq6fx47NWC4iF1XkkSaPvty17zTbNwyU3edgJNB1lsF9wNkicqaIBICbgNudG4jIWsfTG4An7MffB14hIoN24PgV9jKDoSTaTTTaW1uNg8djXcAOTVhFUs3quKrfp5tSK8vRE3RnGVjrreM+c6S75nc7uWhdHxOxFMenE65aikQD3qYVnc0k0uw5MpXvolqKwWigo7KJqp7hSqmMiLwb6yLuBW5VSj0mIh8Gdiulbgf+QERuADLABPAW+7UTIvJXWAoF4MNKqYkWHIdhmRCu0zIAy61zYDxuP25OK43+sJ9Ts8munmWgcSqDaspSf37dGDzWXLiuUIms4z8V3URBX771SKP8av8EOQVXlggea4ajAZ45NdeU/TUDV7c7Sqk7gTuLln3Q8fj9wPvLvPZW4NYGZDSsICJ1xgzAusA9eWLWetykVhr6IrIcsomidVgG3ZhWqrlgbR9ej/DY0WkuXj8AVLcMYilrRnSj7bp37TtN0Odhx8aBstsMRrvPTWQwLBk9QT8i9SmDwUggf2fXLMtAK5VKKYndQsDnybddqJRvDwVl0c2WQcjv5azRHh49NlOYVlclZqCUlXnUKLv2jfPczUOESsxO0AzZMziKu6u2C6MMDB3Fb+5cz2fftHPBDGm3OIOizWqy17eMLAOwlEB/2F81DlBwE3WvZQBw4bo+Hjk6XcgmqqAEtSuw0cKz03NJnjwxWzKl1MlQNEBOWfGFTsAoA0NHMdwT5GUXrK7rtU7Xx0CTBvPk3UTLIIAMVtzAjdW0cShC2O9laxdbBmBlFI3NJvPdVytaBk0afXm3PXKzUvAYCoVnnZJeujzOcIOBgjXgxg3iFq1UlkM7CrAuhjpdthKv3bmeF583WpeF1klcZAeR7z1g9QiKVHDbaEURazC9dNe+0/QGffkq6HLo4r7JWAo6oLTKKAPDskG3WHDjBnH9nmHrJ7Jc3ETXX7yWgIu5DH6vh7X93Vlf4OSCtX2IwOPHZogGfBXPCx0XKi48e/zYDH//vSc5f20vl585xHM2DVXsqHv3vtNcvmWo7PAgzXC+JYWxDAyGpqItg2ZOaNs4HMHnkZoG7XQy77z6rHaLsKREgz62jETZNxarmgQQKTP68tZfHmDX3nHu3jfOZ366HxE4b00fV2wZ4r8+70w2DBXmERybmufAeIw3XrGpqmyDRhkYDK1Bu3QanX3s5MXnruLn731xWwb9GJrDRev62TcWq1pFrpWFM2aQSGf53qMnePWOdXz4xot46PAUvzowwX0HJ/jSvYf48q8O8e4Xn8XvvnALQZ+XXfvcxQvAyiaCzmljbZSBYdkw0ALLQESWhbtkJXPRGf18+6Fj1ZVBiQDyj588xVwyw43b1xEOeLly63A+S+jY1Dx/fcfjfPQHT/P1+4/wFzdcyK594wxFA5y7ureqXOGAl5Df0zG1BiabyLBs0GZ3s1pRGJYHOohcLe6j1zurkL/10FFGeoIl00TPGAjzqTc8h39962V4RHjLv9zHtx86xpVbh13HrIajwY7JJjLKwLBs0EqgmW4iQ/dzwRl9QPVmg5GiOoPp+TQ/fnKMX7tkbcURqi84e5S7/ugFvOfac4kEvFy/bW3ZbYsZjPo7xjIwbiLDsiES8PL8s0a4/MzFLYMNK5f+sJ+L1/ezabjy4Pmgz4PXI/nOpd9/9ASpbI4bt5ccwVL0Wi/vvPqsmgP0g5EAE/HOKDozysCwbBARvvi2y9sthqED+bffuxJfFdeNiCzoXPrth4+yaTjCJesr1ws0wnA0wMHTsZa9fy0YN5HBYFj2hPzeqnn/oDuXZjg1k2DXvtPcuH1dw03rKmE1q+sMy8AoA4PBYLCJBKzRl9/Zcxyl4IZLzmjp/oYiAeaSGZKZ5g3VqRejDAwGg8EmGvQRT2b49kNHuWhdH2etam2jvqEe3ZKi/daBUQYGg8FgEwl4eeL4LHuOTHPjJdUDx42SLzzrgIwiowwMBoPBpifo48RMAhH4tRa7iMDRrK4DqpCNMjAYDAYb3Z/oijOHWdPf+hYkwx3UxtooA4PBYLDR/Ylu3N56qwCK2li3GaMMDAaDwWYwEiDg83DdRe6riBtBV813TcxARK4VkadEZK+IvK/E+j8WkcdFZI+I/KeIbHKsy4rIQ/bf7c0U3mAwGJrJ775gC//+jquWrKWJz+thIOLvCGVQtQJZRLzAJ4GXA0eA+0TkdqXU447NHgR2KqXiIvIO4H8Bv2Wvm1dKbW+u2AaDwdB8BqOBvOtmqRiKBDqijbUby+AyYK9Sar9SKgV8BbjRuYFS6sdKqbj99B5gfXPFNBgMhuWJVYXcHcpgHXDY8fyIvawcbwXucjwPichuEblHRH693ItE5GZ7u91jY2MuxDIYDIbuZyga6Ag3UVMDyCLyRmAn8BHH4k1KqZ3A64F/FJGtpV6rlLpFKbVTKbVzdLQDpkMbDAbDEjAU6R5lcBTY4Hi+3l62ABF5GfDnwA1KqaRerpQ6av/fD/wE2NGAvAaDwbCsGIwGmIynUEq1VQ43yuA+4GwROVNEAsBNwIKsIBHZAXwGSxGcciwfFJGg/XgEeB7gDDwbDAbDimY4GiCdVcw6xm22g6rZREqpjIi8G/g+4AVuVUo9JiIfBnYrpW7Hcgv1AF+z270eUkrdAJwPfEZEcliK5++LspAMBoNhReMsPOsLtW9Kn6vhNkqpO4E7i5Z90PH4ZWVetwvY1oiABoPBsJwZihYKzzYNR9smh6lANhgMhjYyFA0C7a9CNsrAYDAY2kintLE2ysBgMBjayKDtJmp3G2ujDAwGg6GN9AR9BLweJto87cwoA4PBYGgjIsJg1M9ELFl94xZilIHBYDC0mcFIwFgGBoPBsNIZ7gmYmIHBYDCsdAY7oD+RUQYGg8HQZjqhc6lRBgaDwdBmhqIBpufTZLK5tslglIHBYDC0mSHdnyjeviCyUQYGg8HQZgYjWhm0z1VklIHBYDC0meFo+1tSGGVgMBgMbWbQKAODwWAwDBllYDAYDIZ8zMAoA4PBYFi5BHweeoM+ThtlYDAYDCubwWh7W1IYZWAwGAwdQLurkF0pAxG5VkSeEpG9IvK+EuuDIvJVe/29IrLZse799vKnROSaJspuMBgMy4aOVwYi4gU+CVwHXAC8TkQuKNrsrcCkUuos4B+A/2m/9gLgJuBC4FrgU/b7GQwGg8HBYCTQ8QHky4C9Sqn9SqkU8BXgxqJtbgS+YD/+OvBSERF7+VeUUkml1AFgr/1+BoPBYHDwwnNGuHHHurbt3+dim3XAYcfzI8Dl5bZRSmVEZBoYtpffU/TakkcrIjcDNwNs3LjRjewGg8GwbLhx+7pFd9lLSccEkJVStyildiqldo6OjrZbHIPBYFhRuFEGR4ENjufr7WUltxERH9APnHb5WoPBYDC0GTfK4D7gbBE5U0QCWAHh24u2uR14s/34N4AfKaWUvfwmO9voTOBs4FfNEd1gMBgMzaJqzMCOAbwb+D7gBW5VSj0mIh8Gdiulbgc+D/yriOwFJrAUBvZ2/wY8DmSAdymlsi06FoPBYDDUiZsAMkqpO4E7i5Z90PE4Aby2zGv/BvibBmQ0GAwGQ4vpmACywWAwGNqHUQYGg8FgMMrAYDAYDCBW0k9nISJjwLN1vnwEGG+iOI1i5KlMp8nTKJ12PEaeyiwneTYppeou0upIZdAIIrJbKbWz3XJojDyV6TR5GqXTjsfIUxkjTwHjJjIYDAaDUQYGg8FgWJ7K4JZ2C1CEkacynSZPo3Ta8Rh5KmPksVl2MQODwWAw1M5ytAwMBoPBUCNGGRgMBoPBKINuwJ4aZyiD+Xxai/l8K7NcPh+jDGxEpKM+CxHZICJbAZRSqt0nnIhcISLXtlMGJyIyIiL9kP98Our7q5VOk9+cf5VZbucfGGUAgIi8BHi9iAy2WxYAEXklcBfwSRG5C9r7gxSRa4B/pqgyso3yXIfVRfezIvJ1AKVUrh2yNANz/lWVx5x/1WV6oYg8vyGlpJRa0X/A84Ac8EPgt4DBNsuzA9gDXGk//zIw0EZ5rsb6Ee6wn0ews9Ds57LE8rwYeBJ4OdZEve8B72v3edTA8Zjzr7I85vyrLtOL7HPobuBKwFPP+7iaZ7BcsUd0DmL9CBVwI+ARke8ppSbtbUTZn/gSkQN+rJS6W0TWAy8BPiIio8DrlVLxpZLJvvMaAfYDfhHpAW4D5u3Hr1NKJZZCHluWAHAB8H6l1A/t5Z8Htrdy363CnH+VMeefK7kCwFnAa4C1wAeBvxaRu1WN1sqKVgbKmuL2H4BXKRUTkSBwHdYP8i6l1MQS/xABksB5IvJPwPXAx4BPYP0Ivglcs1QyKaWU7SZIAX8HXII1qOjfbbm+CVy3FPLY+0jaZrnPcQE4AVzR6v23AnP+Vcacf67kSonIt4GEUmpORCLAnwN/JyK7VA2TJVekMhCRFwHPBx4AnlFK7QVQSv0/2+d2DXBKRHZgme3vXwJ5ngc8CNwDvBVLyw8Bn1JKxYDXisidIjKqlBprsTyblFLPAtgXqf8EwsCwUupT9ja/BXxDRPqUUjMtlud5WD+4p4AHlVJHHavngR57u7cBG5VjCl8nYs6/qvKY86+6TFcAFwP3AseUUnMASqmP2lbM+4E/EJEXYJ1DH6v2nisugCwiLwduxfI9vhy4RUSu1uuVUv8K/CvwUeD3gX9bInmiWBeBbwBnKaXuA2LAc+ztfhNYhXWX1Ep5bgAOiMj/0Mvsi8G3gM84Nn09MIzl3milPK+y97sey43yVhEJOYKH+4GHReS1wM3A11spT6OY86+qPOb8qy7T9cBXsOI7fwL8LxHJdzpVSn0E67z5D+AvgB+4euNWBDQ6+Q/4Q+A99uM+4I3AY8DVjm1eDcwCF7RRnkuAVwGPYl0cHgQuarEsq4AvYN1V3I/lGy3exgO8yZbrwhbLczawG7jMfv5SrEDrkGObYSw/9+PA+e0+v8z5Z86/JfjO/gJ4g/34XODdwB3Acxzb/DowXcs51HLBO+0PS3t/oWjZG4HvA1vs5y9fih9iBXl+25YnDFxo/zA3LoEsAlxlPz7bPsHfX7TNgP1jbfmJj+XGfCMQciz7FvBix/MerLukc9p9bjXwfZvzT5nzrwa5/hb4rOP5iK0QPmM/DgFvqVVZLonwnfSHlRHwMPBRx7IhrCDZC+znS5auVkGef9byLJEci47Z8YP8M/v5y4AzqDN1rUZ5PEXPvfb/fwd+zX58mf1jDLVaniX4vs35t3iZOf9KyzYA/Az4U8eyi5xKSctby9+KihmIiFcplcLK2LhcRD4GoJSaAPzY/lFlf5ptlsej5VkKio9ZRHxKqWew/KSvEZHvA/8H8KslKLApsQ99rh4GjovIrwH/E+hVSiVaLU8zMOdfecz55w4R8SilpoD3AM8Tkffa8j4KZIHn2s9dZxHl33uJzruOwT7JMiKyGrgdeBoYw/KPvkop9fQKl2dRzraI/CXwLiy/9qPtlEdEPojlU08Bb1NKPbKU8tSLPo5O+b47WJ6OOP/KydPO86+ELM/FUkgHgWeAtwEvU0odqOf9l21qqYisUUqdKFrmsU/8y4E1WOl0r8EKnH22lSd+l8ijfwA7gUuUUp8XkbOA84CXtvKH6EKeHUqpz2J9Nhdg+dT3tUqeRrG/0/OBA8AjSqkJ+068Xd93t8iTbdP5V02eJT//7LTQ7VjWyC+UUuMOmS7CKli8AXgnVlbVr9erCIDlGTPAiqTngLeUWHcl8BBwrZGnojwvtZ8L0NcB8rzcfh6kw4PFWHfVjwCfw0rb/BPA18bvuxvlWcrzz408S3r+YbnuHsa68/8yVvW3XvcSW96rm7rPpToBlvBEOwMrV/pjWClybypa/wbglfpEM/JUlKfmIFSL5fG3+/xycTwX2hcP3Uvn1VgZKME2fd/dLM9SnH+1yLMk5x+wDavPkM6s+h/Ae7FqHXqx2pe8ttnfWcsPbKn/sIp5XmI/fjFWUcibSmzX8hPNyNN98jTheIax0jW9jmU/BHa26fM18nSRPPa+BrFrBrBSRfcB3wU+CXwJGLXXNVV5L8nBLdEHuAZYU2L51fYF5rft5y8ERow8Rp4WHM/aomX67vIu4Ar78Xag38hj5Ckj05qiZa8G3mw/Xgd8Hju1ten7X4qDXIIP8TXAz7H6qrwXq5mWc/2LsfKVv4RlEq438hh5lvB4bgW2AP/FvtCsMvIYeSrI9J5imRzbfY4SlnMz/ro+tVREhrF6cPxXII1VvXkuVhverzq2+wSWr+0lqoXpYEae7pKnUdwcj52/vwOrQOl3VGuzYow8XSRPFZl+qpT6smO71wAfAF6jlNrfbDmWQ2qpF5gBDiilpkTkNFal4tUiMqaU+pGInI+l6V+2BBcWI093ydMolY7ntFLqP7Aqep8DXKrsDqVGHiOPC5leKCIn7d/EzcB/A36jFYoAlknRmYh8HKvr4h8qq+XtGVj9VVJKqY+J1eM7qOyBIUYeI08zqXA8aaXU/xaRjUCPUupxI4+Rp0aZ9G9iDRBplSKALm9hLYV5n5/E0qzvFZGoUuoYVqOtG0VkWCkVX4oLi5Gnu+RpFBfHc4NY/f8PLcWFxcjTXfK4lOlGERlRSp1opSKALlUGIlYvcVXoH7IPq4FUGPi0iIwA5wAZLB+ckcfI0zRqPJ6kkcfI06BMLZ0hkZepm9xEIjKENd4t7lgWUNbot/VYvr43Y5WLDwHvUEo9YOQx8jSDTjseI093ydOpMuVRLU6ZatYfVvfC72BpzzfhKArBGjrxNeye60A/EDXyGHmW6/EYebpLnk6VaYF8S7mzBj7Ec7B6cVyAVYT0Eax+HS/Aav17D1a6lZHHyLPsj8fI013ydKpMxX/dklo6AhxRdlBHRAaxOvX9Jla73RuVUidFFre/NfIYeZpApx2Pkae75OlUmRbQLQHkR4EZEfmA/XwHVt/1BLBZKXUSlm4oiJGn6+RplE47HiNPd8nTqTItoGMDyHYwZVYpNS0iPqwWBe/CUmBKKXWjiLwOuBar9XFLD8TI013yNEqnHY+Rp7vk6VSZKuLWn7SUf1j97Z8E/hi7Q5+93IPVzEnPI70Z+LiRx8iznI/HyNNd8nSqTNX+Os4yEJFRrMHOh4AjwCngK0qpsaLt/gj4HeCNqrW9dIw8XSRPo3Ta8Rh5ukueTpXJDZ0YM5gG/gh4O1bHyrOAm0RkFRSKNbD6ebxhCT5EI093ydMonXY8Rp7ukqdTZapKx1gGYvUDOYE1bs5ZkPEa4EXAM0qpfxKRS9USFGEYebpLnkbptOMx8nSXPJ0qUy10hGUgItcDdwKfAP5FRM7T65RS3wB+CoyKyLeAn4rIOiOPkadZdNrxGHm6S55Olalm2hmwAATYgD3cGVgN/ClwHLiwaNsvAgeBbUYeI89yPB4jT3fJ06ky1X0sbRfA8pvdgjXSTbut/hA4CpxjP1+LNflqu5HHyLOcj8fI013ydKpMdR1H23ZsBVWeizWQ+qvAe4rWvwe4DQjbz3uMPEae5Xo8Rp7ukqdTZWroeNqyU3gVsAfLj/YJ4AYs8+n9jm02A5/B1rRGHiPPcj0eI093ydOpMjX6t+S9iUTkKqwmTa9XSj0oIrcAlwFXAfeIiBcrR/f5WKPnBoBJI4+Rpxl02vEYebpLnk6VqSkstfbB+sDe4ng+CtxhP94C3Ap8CrifJQi0GHm6S57ldjxGnu6Sp1NlaspxLfkOrWBLn+PxeuBBYK29bBPgA/qNPEae5X48Rp7ukqdTZWrG35LXGSilskqpGfupAFPAhFLquIi8EfgzwK+UmjbyGHmaTacdj5Gnu+TpVJmaQUdUIIvIbVh5ua/AMr/aWp5t5OkueRql047HyNNd8kBnylQrbVUGdo8OP/CE/f+lSqlnjDxGnqWg047HyNNd8nSqTPXSKZbBW4D7lFKPtVsWMPJUo9PkaZROOx4jT2U6TR7oTJlqpVOUQUeNPzTyVKbT5GmUTjseI09lOk0e6EyZaqUjlIHBYDAY2ktHdC01GAwGQ3sxysBgMBgMRhkYDAaDwSgDg8FgMGCUgcFgMBgwysBgMBgMwP8Hv2tHTiRpRgUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tsd = TimeSeriesData(df_increase_decrease.loc[:,['time','decrease']])\n",
    "detector = CUSUMDetector(tsd)\n",
    "change_points = detector.detector(change_directions=[\"decrease\"])\n",
    "\n",
    "plt.xticks(rotation=45)\n",
    "detector.plot(change_points)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Interpret the result"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we do not specify which change directions we are looking for using the `change_directions` parameter, `CUSUMDetector` will look for both increases and decreases. In the case below where there is only an increase, it will detect that increase."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tsd = TimeSeriesData(df_increase_decrease.loc[:,['time','increase']])\n",
    "detector = CUSUMDetector(tsd)\n",
    "change_points = detector.detector()\n",
    "\n",
    "plt.xticks(rotation=45)\n",
    "detector.plot(change_points)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's take a look at how we can interpret the results of the `CUSUMDetector`.  The return type of the `detector` method is `List[Tuple[TimeSeriesChangePoint, CUSUMMetadata]]`. Most `detector` methods in Kats return this same structure, but each will have a different metadata object with metadata specific to that detector."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "TimeSeriesChangePoint(start_time: 2019-01-30 00:00:00, end_time: 2019-01-30 00:00:00, confidence: 1.0)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get the change point and metadata, since we only detected one change point \n",
    "# We can access it with change_points[0] because we only found one change point above\n",
    "change_point, metadata = change_points[0]\n",
    "change_point"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's look at the metadata.  Here are the components of the metadata:\n",
    "* **direction**: str, the change point direction, either 'increase' or 'decrease';\n",
    "* **cp_index**: int, the index of the change point;\n",
    "* **mu0**: float, mean before the change point;\n",
    "* **mu1**: float, mean after the change point;\n",
    "* **delta**: float, mu1 - mu0;\n",
    "* **llr_int**: float, the log likelihood ratio in interest window, or `inf` if not using an interet window;\n",
    "* **llr**: float, the log likelihood ratio for the full time series;\n",
    "* **regression_detected**: bool, is the change point detected by the algorithm (only relevant when `return_all_changepoints=True`);\n",
    "* **stable_changepoint**: bool, indicates whether the algorithm converged to this point (rather than hitting the iteration limit);\n",
    "* **p_value**: float, p-value for the likelihood ratio test;\n",
    "* **p_value_int**: float, p-value for the likelihood ratio test in interest_window, or `nan` if not using an interest window."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'_direction': 'increase',\n",
       " '_cp_index': 29,\n",
       " '_mu0': 1.0395982783530555,\n",
       " '_mu1': 2.0233303619383967,\n",
       " '_delta': 0.9837320835853411,\n",
       " '_llr_int': inf,\n",
       " '_llr': 128.93223399207324,\n",
       " '_regression_detected': True,\n",
       " '_stable_changepoint': True,\n",
       " '_p_value': 0.0,\n",
       " '_p_value_int': nan}"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "metadata.__dict__"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will explain interest windows in the next section, but for now, notice that since we are not using the `interet_window` parameter in `CUSUMDetector`, the metadata values of `llr_int` and `p_value_int` are `inf` and `nan` respectively.  These values will be populated properly only when we use the `interet_window` parameter in `CUSUMDetector`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Introducing Interest Windows\n",
    "\n",
    "Sometimes we want to look for a changepoint in a specific window, which we call an interest window and can be specified using the `interest_window` paramter in `CUSUMDetector`.  Here is what the detector essentially does when using an interest window:\n",
    "\n",
    "1. Do both of the major aforementioned steps of CUSUM (locate the change point and test for signifiance) when only considering the data within the `interest_window`.  By default, continue only if we find a changepoint and reject the null hypothesis.\n",
    "2. Do an additional test for statistical significance on the changepoint found in step 1 using the entire input time series (not just the restriction to `interest_window`).  By default, return this changepoint only if we reject the null hypothesis (unless we set the parameter `return_all_changepoints` to `True`).\n",
    "\n",
    "Since the `CUSUMDetector` can only return one change point in each direction, we can use the `interest_window` parameter narrow the search window in the case that the input time series contains multiple change points.  However, the change point point we return must pass the likelihood ratio test for the entire time series (step 2 above) in addition to passing the likelihood ratio test within the interest window (step 1 above)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's return to the first example where we used `CUSUMDetector` to detect an increase.  If we set the `interest_window` to a window that contains the change point that we found above, we will find it again."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# limit the interest_window between 20th and 40th data point\n",
    "tsd = TimeSeriesData(df_increase_decrease.loc[:,['time','increase']])\n",
    "detector = CUSUMDetector(tsd)\n",
    "change_points = detector.detector(interest_window=[20,40])\n",
    "\n",
    "plt.xticks(rotation=45)\n",
    "detector.plot(change_points)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we set the `interest_window` to a window that does not find any change point, we will return no change point."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:root:No change points detected!\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# limit the interest_window to last 20 the datapoint and no change point detected\n",
    "tsd = TimeSeriesData(df_increase_decrease.loc[:,['time','increase']])\n",
    "detector = CUSUMDetector(tsd)\n",
    "change_points = detector.detector(interest_window=[40,60])\n",
    "\n",
    "plt.xticks(rotation=45)\n",
    "detector.plot(change_points)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Daily Seasonality with Interest Windows"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we are using an interest window in a time series with seasonality, we can get a false positive.  Here we show how this happens and how we can address the problem.  Let's start by generating a time series with seasonality.  We use a method from our test functions in `CUSUMDetectorTest` to simulate the data or this problem."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:root:Initializing empty TimeSeriesData object\n"
     ]
    }
   ],
   "source": [
    "from kats.tests.test_detectors import CUSUMDetectorTest\n",
    "\n",
    "# Here's where we load the seasonal data\n",
    "np.random.seed(1)\n",
    "periodicity=24\n",
    "total_cycles=3\n",
    "seasonal_term = CUSUMDetectorTest.simulate_seasonal_term(\n",
    "    periodicity=periodicity, total_cycles=total_cycles, noise_std=3, harmonics=2\n",
    ")\n",
    "seasonal_term = seasonal_term / seasonal_term.std() * 2\n",
    "residual = np.random.normal(0, 1, periodicity * total_cycles)\n",
    "data = seasonal_term + residual\n",
    "data -= np.min(data)\n",
    "\n",
    "# Load the data into a DataFrame and a TimeSeriesData\n",
    "df_seasonality = pd.DataFrame(\n",
    "    {\n",
    "        \"time\": pd.date_range(\n",
    "            \"2020-01-01\", periods=periodicity * total_cycles, freq=\"H\"\n",
    "        ),\n",
    "        \"seasonality\": data,\n",
    "    }\n",
    ")\n",
    "ts_seasonality = TimeSeriesData(df_seasonality)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When we do detection using the interest window below, we get a false positive.  It is clear that the change point detected below is not a changepoint with respect to an entire series.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "detector = CUSUMDetector(ts_seasonality)\n",
    "\n",
    "# Without magnitude comparison\n",
    "change_points = detector.detector(\n",
    "    interest_window=[\n",
    "        periodicity * (total_cycles - 1),\n",
    "        periodicity * total_cycles - 1,\n",
    "    ],\n",
    "    change_directions=[\"increase\"],\n",
    ")\n",
    "\n",
    "plt.xticks(rotation=45)\n",
    "detector.plot(change_points)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can mitigate false positives here by comparing the magnitude of the time series in the interest window to compare the magnitude of the time series in the interest window to the magnitude of the the time series prior to the interest window.  We need three additional parameters to do this: `magnitude_quantile`, `magnitude_comparable_day`, and `magnitude_ratio`.\n",
    "\n",
    "Here is the procedure for using these parameters to restrict the number of false positives when detecting an increase (when looking for decreases, the time series values are multipled by -1 prior to using this procedure):\n",
    "\n",
    "1) Calculate the `magnitude_quantile` percentile of the timeseries within the `interest_window`.  Call this value `p`    \n",
    "2) Calculate the `magnitude_quantile` percentile over a sliding window of length equal to the length of `interest_window` in the time series prior to `interest_window`.  Count the proportion of intervals for which this percentile is smaller than `p / magnitude_ratio`.  Include this changepoint if and only if this proportion of days exceeds `magnitude_comparable_day`.\n",
    "\n",
    "The values of `magnitude_comparable_day` and `magnitude_ratio` are 0.5 and 1.3 by default, and we only include them below for readability.    When the `magnitude_quantile` is not included as a paramter, we are not doing a magnitude ratio comparison.  Below we have `magnitude_quantile =1` which means the value of `p` in step 1 above is equal to the maximium value of the time series over the `interest_window`.  Then based on the parameters we are using, we will keep a changepoint detected in `interest_window` only if at least half of the intervals prior to `interest_window` with the same length as `interest_window` have a maximum value not exceeding `p/1.3`.\n",
    "\n",
    "As we see below, adding this additional restriction on the change points we detect removes the false positive."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:root:No change points detected!\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "detector = CUSUMDetector(ts_seasonality)\n",
    "\n",
    "\n",
    "# With magnitude comparison, seasonal false positive not detected\n",
    "change_points = detector.detector(\n",
    "    interest_window=[\n",
    "        periodicity * (total_cycles - 1),\n",
    "        periodicity * total_cycles - 1,\n",
    "    ],\n",
    "    magnitude_quantile=1, # enable magnitude comparison\n",
    "    magnitude_comparable_day=0.5, # this is the default value\n",
    "    magnitude_ratio=1.3, # this is the default value\n",
    "    change_directions=[\"increase\"],\n",
    ")\n",
    "\n",
    "plt.xticks(rotation=45)\n",
    "detector.plot(change_points)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Detecting Multiple Change Points with Interest Windows\n",
    "In most use cases, there are more than one change point, and you might want to monitor the regressions continuously. Here shows how can we achieve detecting multiple change points over time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# synthesize data with simulation\n",
    "np.random.seed(10)\n",
    "df_multi_cps = pd.DataFrame(\n",
    "    {\n",
    "        'time': pd.date_range('2019-01-01', periods=100),\n",
    "        'y':np.concatenate([\n",
    "            np.random.normal(1, 0.2, 30), \n",
    "            np.random.normal(2, 0.2, 30),\n",
    "            np.random.normal(0, 0.2, 20),\n",
    "            np.random.normal(3, 1, 20),\n",
    "        ]),\n",
    "    }\n",
    ")\n",
    "multi_cp_ts = TimeSeriesData(df_multi_cps)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Iterate through the time series using a sliding window, and partition each sliding window into a historical window and a scan window.  The length of each sliding window then will be `historical_window + scan_window`, where `historical_window` and `scan_window` are chosen suitably for the time series being considered.  Run `CUSUMDetector` on the sliding window with the scan window as the interest window.  Repeat and collect all changepoints until the sliding window reaches the end of the time series."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "historical_window = 20\n",
    "scan_window = 10\n",
    "step = 5\n",
    "changepoints = []\n",
    "n = len(df_multi_cps)\n",
    "for end_idx in range(historical_window + scan_window, n, step):\n",
    "    tsd = multi_cp_ts[end_idx - (historical_window + scan_window) : end_idx]\n",
    "    changepoints += CUSUMDetector(tsd).detector(insterest_window=[historical_window, historical_window + scan_window])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can plot the results.  To use the `plot` method in `CUSUMDetector`, we need to initiate a new `CUSUMDetector` over the entire `multi_cp_ts` and call the `detector` method, but actually using this new detector for anything."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the results\n",
    "detector = CUSUMDetector(multi_cp_ts) # we are not really using this detector\n",
    "detector.detector() # this call to detector is not being used for anything\n",
    "\n",
    "plt.xticks(rotation=45)\n",
    "detector.plot(changepoints)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## **1.2 BOCPDetector**\n",
    "\n",
    "Bayesian Online Change Point Detection (BOCPD) is a method for detecting sudden changes in a time series that persist over time. Our implementation is faithful to [\"Bayesian Online Changepoint Detection\"](https://arxiv.org/abs/0710.3742) (Adams & McKay, 2007).  There are a coupple properties that distinguish BOCPD from the other change point detection methods supported in Kats:\n",
    "\n",
    "* **Online Model:** This detection does not need to know the entire series apriori.  It only need to look a few steps ahead (specified by the `lag` parameter in the `detector` method) to make predictions, and it revises its predictions as new data arrives.  \n",
    "* **Bayesian Model:** The user can specify prior beliefs about the probability of a changepoint (using the `changepoint_prior` paremeter in the `detector` method) and specify the the parameters of the underlying probability model that generates the time series (using the `model_parameters` parameter in the `detector` method).  Right now we support 3 diferent types of underlying probability models (specified using the `model` parameter in the `detector` method).\n",
    "\n",
    "The basic idea of this detection method is uses Bayesian inference to decide if the next point is improbable.  This requires the user to specify (or use default values for) the **probability of a change point** and **underlying predictive model (UPM)** that generates the incoming data points in the time series.  Currently we support three different types of underlying models:\n",
    "1. Normal Distribution (unknown mean, known variance)    \n",
    "2. Trend Change Distribution    \n",
    "3. Poisson Process Model    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The full set of parameters for the `detector` method in `BOCPDetector`, all of which are optional and have default values, are as follows: \n",
    "\n",
    "* **model**: This specifies the underlying probabilistic model (UPM) that generates the data within each segment.  Currently, allowed models are:\n",
    "    * NORMAL_KNOWN_MODEL: Normal model with variance known. Use this to find level shifts in normally distributed data.\n",
    "    * TREND_CHANGE_MODEL : This model assumes each segment is generated from ordinary linear regression. Use this model to understand changes in slope, or trend in time series.\n",
    "    * POISSON_PROCESS_MODEL: This assumes a Poisson generative model. Use this for count data, where most of the values are close to zero.\n",
    "\n",
    "* **model_parameters**: Model Parameters correspond to specific parameters for a specific model. They are defined in the NormalKnownParameters, TrendChangeParameters, PoissonModelParameters classes.\n",
    "\n",
    "* **lag**: integer referring to the lag in reporting the changepoint. We report the changepoint after seeing \"lag\" number of data points. Higher lag gives greater certainty that this is indeed a changepoint. Lower lag will detect the changepoint faster. This is the trade-off.\n",
    "\n",
    "* **changepoint_prior**: This is a Bayesian algorithm. Hence, this parameter specifies the prior belief on the probability that a given point is a changepoint. For example, if you believe 10% of your data will be a changepoint, you can set this to 0.1.\n",
    "\n",
    "* **threshold**: We report the probability of observing the changepoint at each instant. The actual changepoints are obtained by denoting the points above this threshold to be a changepoint.\n",
    "\n",
    "* **debug**: This surfaces additional information, such as the plots of predicted means and variances, which allows the user to see debug why changepoints were not properly detected."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Note:** When using the normal distribution for a UPM, there are two ways to pick the prior parameters:      \n",
    "* Use an empirical prior and estimate the parameters from the data (set attribute `empirical=True` in `NormalKnownParameters`)           \n",
    "* Specify the mean and precision of the distribution "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Basic Usage\n",
    "Here we show the basic usage of `BOCPDetector` to detect mean shift."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We begin by simulating some data with some change points using the `Simulator` class."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kats.utils.simulator import Simulator\n",
    "\n",
    "sim = Simulator(n=450, start='2020-01-01', freq='H')\n",
    "ts_bocpd = sim.level_shift_sim(noise=0.05, seasonal_period=1)\n",
    "\n",
    "# plot the simulated data\n",
    "ts_bocpd.plot(cols=['value'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we run BOCPD to find the change points in this simulated time series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kats.detectors.bocpd import BOCPDetector, BOCPDModelType, TrendChangeParameters\n",
    "\n",
    "# Initialize the detector\n",
    "detector = BOCPDetector(ts_bocpd)\n",
    "\n",
    "\n",
    "changepoints = detector.detector(\n",
    "    model=BOCPDModelType.NORMAL_KNOWN_MODEL # this is the default choice\n",
    ")\n",
    "\n",
    "# Plot the data\n",
    "plt.xticks(rotation=45)\n",
    "detector.plot(changepoints)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Interpret the results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The return type of the `detector` method is `List[Tuple[TimeSeriesChangePoint, BOCPDMetadata]]`.  Let's see what that looks like for one of the change points detected above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "TimeSeriesChangePoint(start_time: 2019-03-21T00:00:00.000000000, end_time: 2019-03-21T00:00:00.000000000, confidence: 0.9120017705261637)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cp, meta = changepoints[0]\n",
    "cp"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The attributes of `BOCPDMetadata` are:\n",
    "* **detector_type:** This will always be `kats.detectors.bocpd.BOCPDetector`\n",
    "* **model:** The type of the underlying predictive model, either `NORMAL_KNOWN_MODEL`, `TREND_CHANGE_MODEL`, or `POISSON_PROCESS_MODEL`\n",
    "* **ts_name**: the name of the time series\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'_detector_type': kats.detectors.bocpd.BOCPDetector,\n",
       " '_model': <BOCPDModelType.NORMAL_KNOWN_MODEL: 1>,\n",
       " '_ts_name': 'y'}"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "meta.__dict__"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## **1.3 RobustStatDetector**\n",
    "\n",
    "`RobustStatDetector`, like `CUSUMDetector`, is a change point detection algorithms that finds mean shifts.  It works as follows:\n",
    "1. Smooth the time series using a moving average\n",
    "2. Calculate the differences in the smoothed time series over a fixed number of points (specified by the `comparison_window` parameter in the `detector` method).\n",
    "3. Calculate the z-scores and p-values for the differences calculated in step 2.  Return points where the p-value is smaller than a prescribed threshold (specified by the `p_value_cutoff` parameter in the dtector method`)\n",
    "\n",
    "Unlike `CUSUMDetector`, `RobustStatDetector` can detect multiple change points in a single run.  After a basic example, we will show an example with multiple change points."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The full set of parameters for the `detector` method in `RobustStatDetector`, all of which are optional and have default values, are as follows: \n",
    "* **p_value_cutoff**: float, the p-value threshold to flag the change point; \n",
    "* **smoothing_window_size**: int, the length of the smoothing window;\n",
    "* **comparison_window**: int, the step of the diff function, i.e. how many data points you want the algorithm look back to make the comparison."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Basic Usage"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We start by showing how to use `RobustStatDetector` using the same example we initially provided for `CUSUMDetector`.  The usage is straightforward."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# import package\n",
    "from kats.detectors.robust_stat_detection import RobustStatDetector\n",
    "\n",
    "tsd = TimeSeriesData(df_increase_decrease.loc[:,['time','increase']])\n",
    "detector = RobustStatDetector(tsd)\n",
    "change_points = detector.detector()\n",
    "\n",
    "plt.xticks(rotation=45)\n",
    "detector.plot(change_points)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The return type of the `detector` method is `List[Tuple[TimeSeriesChangePoint, RobustStatMetadata]]`.  Let's see what that looks like the change point detected above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "TimeSeriesChangePoint(start_time: 2019-01-31T00:00:00.000000000, end_time: 2019-01-31T00:00:00.000000000, confidence: 0.9932728251020368)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "change_point, metadata = change_points[0]\n",
    "change_point"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The attributes of `RobustStatMetadata` are:\n",
    "* **metric:** The raw value of the metric at the time of the change point  \n",
    "* **index:** The index of the change point"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'_metric': -0.32345014754902635, '_index': 30}"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "metadata.__dict__"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Multiple Changepoints\n",
    "The `RobustStatDetector` can detect multiple change points in one time series by one run. But one cautious here is that the algorithm will use the full time series to compute the z-score, which means it might affect the results negatively, e.g. it might not be able to detect a smaller change when there is a bigger change in the time series."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_bocpd = TimeSeriesData(ts_bocpd.to_dataframe())\n",
    "detector = RobustStatDetector(ts_bocpd)\n",
    "changepoints = detector.detector(p_value_cutoff = 5e-3, comparison_window=2)\n",
    "\n",
    "# plot the results\n",
    "plt.xticks(rotation=45)\n",
    "detector.plot(changepoints)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tsd = TimeSeriesData(df_multi_cps)\n",
    "detector = RobustStatDetector(tsd)\n",
    "# even setting the p_value to be 0.1 it cannot detect the first change point, while there are already many FPs in the results\n",
    "changepoints = detector.detector(p_value_cutoff = 1e-1, comparison_window=2)\n",
    "\n",
    "plt.xticks(rotation=45)\n",
    "detector.plot(changepoints)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To avoid this we can again use the same way in `CUSUMDetector` to detect multiple change points by cutting the long time sereis into several different shorter sections."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2. Outlier Detection\n",
    "Outliers in Time Series can cause a lot of issues in downstream processing. Therefore, removing outliers is important in any time series analysis. In Kats, we have three algorithms detecting outliers, one for univariate time series, one for multi-variate time series and one for detecting irregular daily patterns."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## **2.1 OutlierDetector**\n",
    "We provide the `OutlierDetector` module to detect outliers in time series. Since outliers can cause so many problems in downstream processing, it is important to be able to detect them. `OutlierDetector` also provides functionality to handle or remove outliers once they are found.\n",
    "\n",
    "Our outlier detection algorithm works as follows:\n",
    "* We do a [seasonal decomposition](https://www.statsmodels.org/stable/generated/statsmodels.tsa.seasonal.seasonal_decompose.html) of the input time series, with additive or multiplicative decomposition as specified (default is additive)\n",
    "* We generate a residual time series by either removing only trend or both trend and seasonality if the seasonality is strong.\n",
    "* We detect points in the residual which are outside 3 times the inter quartile range. This multiplier can be tuned using the `iqr_mult` parameter in `OutlierDetector`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here are the parameters when initializing `OutlierDetector`:\n",
    "* **data**: `TimeSeriesData` object with the time series\n",
    "* **decomp**: `additive` or 'multiplicative' (default is additive)\n",
    "* **iqr_mult**: `float`, multiplier on inter quartile range is used to classify outliers (default is 3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we recap the example from the Kats 101 Tutorial of how to use `OutlierDetector` with the `air_passengers` data set.  Our example manually inserts outliers into the `air_passengers` data set and uses `OutlierDetector` to find them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "# load the air_passenger data set\n",
    "air_passengers_outlier_df = pd.read_csv(\"~/Kats/kats/data/air_passengers.csv\")\n",
    "air_passengers_outlier_df.columns = [\"time\", \"value\"]\n",
    "\n",
    "# manually add outlier on the date of '1950-12-01'\n",
    "air_passengers_outlier_df.loc[air_passengers_outlier_df.time == '1950-12-01','value']*=5\n",
    "# manually add outlier on the date of '1959-12-01'\n",
    "air_passengers_outlier_df.loc[air_passengers_outlier_df.time == '1959-12-01', 'value']*=4\n",
    "\n",
    "# transform the outlier data into `TimeSeriesData` Object\n",
    "air_passengers_outlier_ts = TimeSeriesData(air_passengers_outlier_df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can import and call `OutlierDetector` on `air_passengers_outlier_ts`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "from kats.detectors.outlier import OutlierDetector\n",
    "\n",
    "ts_outlierDetection = OutlierDetector(air_passengers_outlier_ts, 'additive') # call OutlierDetector\n",
    "ts_outlierDetection.detector() # apply OutlierDetector"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we look at the outliers that the algorithum found."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Timestamp('1950-12-01 00:00:00'),\n",
       " Timestamp('1959-11-01 00:00:00'),\n",
       " Timestamp('1959-12-01 00:00:00')]"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts_outlierDetection.outliers[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After detecting the outlier, we can now easily removal them from the data. Here we will explore two options: \n",
    "- **No Interpolation**: outlier data points will be replaced with **NaN** values\n",
    "- **With Interpolation**: outlier data points will be replaced with **linear interploation** values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "air_passengers_ts_outliers_removed = ts_outlierDetection.remover(interpolate = False) # No interpolation\n",
    "air_passengers_ts_outliers_interpolated = ts_outlierDetection.remover(interpolate = True) # With interpolation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we visualize the difference between these two approaches to removing outliers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(20,8), nrows=1, ncols=2)\n",
    "\n",
    "air_passengers_ts_outliers_removed.to_dataframe().plot(x = 'time',y = 'y_0', ax= ax[0])\n",
    "ax[0].set_title(\"Outliers Removed : No interpolation\")\n",
    "air_passengers_ts_outliers_interpolated.to_dataframe().plot(x = 'time',y = 'y_0', ax= ax[1])\n",
    "ax[1].set_title(\"Outliers Removed : With interpolation\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## **2.2 MultivariateAnomalyDetector**\n",
    "This anomaly detection method is useful to detect anomalies across multiple time series. Anomalies are detected based on deviations from the predicted steady state behavior. The steady state behavior of a system of metrics is predicted by modeling the linear interdependencies between time series using a Vector Autoregression (VAR) model. \n",
    "\n",
    "This approach is especially suited for detecting multivariate anomalies - small anomalies but persistent across a multiple time series.\n",
    "\n",
    "In addition to identifying an anomalous event, this method has useful utilities to flag specific time series that were affected for a high level root cause analysis."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here are the attributes when initializing `MultivariateAnomalyDetector`:\n",
    "* **data**: TimeSeriesData - Note that data should be deseasonalized and detrended prior to detection\n",
    "* **params**: `VARParams` class initiated with appropriate parameters for the VAR model training\n",
    "* **training_days**: Initial number of days (can be a fraction) to use for training the model. \n",
    "\n",
    "Here are the attributes for the `VARParams` class:\n",
    "* **maxlags**: Maximum number of lags to check for order selection (defaults is 12)\n",
    "* **method**: Estimation method to use (defaults is ordinary least squares (OLS))\n",
    "* **ic**: Information criterion to use for VAR order selection (defaults to None)\n",
    "* **trend**: \n",
    "    * 'c' - add constant (Default), \n",
    "    * 'ct' - constant and trend, \n",
    "    * 'ctt' - constant, linear and quadratic trend,  \n",
    "    * 'n'/'nc' - no constant, no trend"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we provide an example of how to use `MultivariateAnomalyDetector` that uses the `multivariate_anomaly_simulated_data` data set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "from kats.detectors.outlier import MultivariateAnomalyDetector, MultivariateAnomalyDetectorType\n",
    "from kats.models.var import VARParams\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings(action='ignore',category=FutureWarning)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We begin by loading and plotting the data as follows.  We can see that at the end of January, there a subsequent movement in metrics 5 and 6 that represents a multivariate anomaly because of the apparent coordination and persistence of these spikes (even though neither spike is particularly large in magnitude)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AXmdCpzNiMCTudUZj4l6XvOdFIiE8nkN4vXn4/fmJ1uJgIbFYsFicoB69rwJHrzeJ60PyOgEQjQaIxgLEYwHi8SDy0XPytIH90vFnKFO1o9e77rqLiy++mObNm+Pz+fjmm29KvWG+9957vPfee0Biitq6ptXquOQSMcNXQxUKhTAYDGiTVR9/YLdnYrdn1tr+E0GhhcxGLWtl+4FAgG+/fRyTKYtrr72WXr161ch2vd6yJ/GQJAlJSgTUdSHRfUaH0Wipk/1V1MaNG9mw/msOH/bjdDrp168fl1xySbqLJQjCCUKr1eFwNMbhaJzuopRLrzdhs2XQokW3dBelTlW7Q9GsWbPo27cvBw8eZM2aNdx1112ljnb/y1/+wooVK1ixYgWNG9f/g0KoP2KxGGPHjuWFF15Id1FqzTPPPIPL5aJbt241FhADmEwmLBYL0Wi0xrZ5Ivr0008BGDZsGAA7duxIZ3EEQRCEOlbtoPjjjz/m8ssvR6PR0LFjR9q1a8eWLVtqomyCkPLrr79is9nIz89Pd1Fqxddff43ZbCYajXLjjTfW6Lbbtm2LwWBg6dKlNbrdE8muXbvQ6XSEQiFGjhxJNBpNS2uWIAiCkD7VDopbt27N3LlzATh8+DBbt26lffv21S6YIBxr2bJlAJjNZmRZTnNpat7SpUsJBAKMHTu2xrd9+umnA9T5wNaG5KOPPkKn03H11Vej1WoJBoOEQqF0F0sQBEGoQ+UGxddccw2nn346W7dupWXLlnz44Ye88847vPPOOwCMHTuWxYsX06tXL4YOHcpLL71EVlZWrRdcOLkcPnwYAKPRyMqVK9Ncmpq1a9cuHA4HRqMRs9lc49vv1asXwWCQgwcP1vi2TwR5eXnE43G8Xi+nnnoqAFqttl4PGBYEQRBqXrlX/a+++qrM95s3b85PP/1UYwUShD+SZRmj0Yjb7cblcrFixQoGDhyY7mLVmOTg1FGjRtXK9iVJIhqNikk8SvHuu+9iNBo5//zzU6+5XC5kWaawsJBGjRqlsXSCIAhCXRF3SaHeW7RoESaTiQ4dOhCNRtm7d2+6i1SjDh8+jNvt5rTTTqu1fTRq1AiHw8GhQ4dqbR8Nkcfjwefz4Xa7GTJkSOr1Vq1aAbBq1ap0FU0QBEGoYyIoFuq9JUuWADB06FCCwSDhcDjNJao5CxYswOl00rJl7aR5S+revXtqf8Lv3nvvPSwWC+edd16x15Pf19atW9NRLOEkkZxZThCE+kEExUK9d+jQIXw+H927d8dsNmO1Wk+YwHjmzJnIsszVV19dq/s555xzUFWVzZs31+p+GpJwOJyqpb/44ouLvde7d29kWSY3NzdNpRNOdK+88goPP/xwqSlMBUGoeyIoFuo1WZYxGAypmcnatm2LXq9P1R43ZNFolHg8jt/vr/Wa4saNG+P1eikqKqrV/TQkH3zwATabrcT+6SaTCb/fTyAQSEPJhBPdxo0bKSoqwmaziTE5glCPiKBYqNcWL16M2WymXbt2AKkAZs2aNWksVc2YOHEiFouFPn361Mn+srOzcblcfPvtt3Wyv/pux44deDyeMmvp/zhNtCDUhA8++ABIPPSvXbs2zaURBCFJBMVCvZasET733HMB6NOnD+Fw+IRIL7ZixQpCoRB/+tOf6mR/99xzDz6fjyVLlhCLxepkn/XVpk2bcDqdZGdnl5qVw263Y7PZRL5ioUZ9+umnOJ1OrFYrPp8Pn8+X7iIJgnCUCIqFei03Nxefz0ePHj2ARHqxcDhMPB5Pc8mq59ChQ1gsFoBayU1cEqvVSteuXXE6nak84yer2bNnA3D22WeXukyzZs2QJInVq1fXVbGEE1xRURHr1q3D4/HwwAMP4HQ6RVYYQahHRFAslGj27Nk1Msho5cqVjB07lry8vEqv+8f+xEl2ux273Y7H46l2+dLlq6++QqfTMXz48Drd76233orb7Wbv3r0ndf/iPXv2EAgEUrP9laRLly4AYnCiUGNee+01bDYbQ4YMwWQy0a9fPyRJYtasWeku2kntu+++4/vvv093MYR6QATFNUhRFN566y3uu+8+9u/fn+7iVNn//vc/Fi1axFtvvVXtbU2cOBGtVsuLL77I8uXLK7Xu0qVLMZvNtGnTptjrHTp0QJIkFi9eXO3ypcuePXvweDzHpQKrbZIkcf7552O1Wvn3v/9dp/uuL2KxGHq9HlVVy5zQpF+/fgDlnsubN2/m4Ycf5oknnuDVV19l/PjxzJ49m5ycnJO+m4rwu8WLF6PRaPD7/alsJ8OHDycWi4kHrzQ6ePAgK1asYOnSpWJgrSCC4pqyfv16/vGPf1BQUIDL5WL8+PHpLlKVfP7556ka4mAwWO3thUIh/H4/Op2OH374gc8++6zC6yaD3mR/4qQzzjgDSHznDdHq1atxuVxkZmamZZa5Cy+8EI/HQyQSYefOnXW+/3SbP38+ZrOZDh06lLlcRkYGfr+/3BaJL7/8EovFkgp4du/ezaJFi/jiiy946qmn+PTTT2uy+EIDpCgK3377LbFYjHvuuSf1utVqJRAIEIlE0li6+i0Wi7Fx48Za2/5//vMfjEYjFotFnKuCCIqrKxaL8fLLL/PVV19hsViw2Wy43W6KiooaXC3RpEmT2Lx5M16vF7/fj8ViQZblKm9PlmXMZjOSJHHzzTcTCoXYsWMHTz/9dIW2e/DgQfx+P7169Sr2eufOnQkEAhw+fLjKZUunSZMmoaoqV155ZdrKcMMNN6DVavnf//5X6XWj0Sjvv/8+0Wi0FkpW+5KDN0eOHFnusvF4vNwJFpIz4v3zn//khhtu4KyzzqJ9+/bYbDaCwSBbtmw5ISdNmThxYpWOn5PR22+/jcvlomnTprRu3brYe1lZWTidzpPyAbUiXn/9db766itycnJqfNubN29GkiR8Ph9er1dM1iOIoLg6li1bxkMPPUQwGCQYDHLdddfx4IMP0qNHD+x2OxMmTEh3ESvs559/ZtmyZQSDQR544AHatGmDwWBg5cqVVd7m+vXrMRqNNG/enG7duvHMM8/g8/lQVZUHH3yQgoKCUtdVFCXVxF2SWCxW6nv1mSzLqdrHZJ/VdOjXrx/xeByz2cyiRYsqte4777zDgQMHeO+992qpdLWroKAAj8eTSvNXluRkMaU9xG3btg2Xy0VWVhZarZb27dszdOhQbrjhBh588EHuuusuYrEYU6ZMOaGCnry8PH777Tdyc3NZuHBhuotTrx08eJB9+/bhdru5++67j3t/0KBBACJfcSlyc3PR6XTMnDmzxrf94YcfAnDLLbfQrFkzXC6X+Duc5ERQXEUfffQRU6dOxWg00qRJE15//fXU1LDXXXcdwWCw0n1o02X58uXMmjWLWCzG3/72N1q1apXqT1mdoDi5bs+ePQFwOBy88sormEwm7HY7zz33XKmBwrJly7BYLLRt27bE9xs1aoTD4ajSAL50+vHHH7Hb7WkNiJPuvPNOotFopR7eFEVJ/c22b99eW0WrNUVFRdjt9lTmj/I0adIEvV5favPt9OnTARgyZEiJ73fs2JELLrgAo9HIv//9b/x+f9UKXs+89dZbmM1mYrEY3333nZiuuAyvv/46RqORyy+/HK1We9z755xzDuFwmB07dqShdPXbvn37cDgcAOzatatGt71kyRIsFguKotCjRw9uueUWIpFIhQY9Tpw4kfvuu4/du3fXaJmE9BNBcRXs37+frVu34vf7ueOOO7jjjjuK9Q01m82YTCacTme97/e6adMmvv32W1RV5dprr00FawMHDiQWi7F3794qb3v37t0oipKqCYHEQK//+7//o3fv3pjN5lIDhWTtZWkps5LlbGi1VIsWLSIajdb6tM4V0bJlS5xOJy6Xq8KB8cyZM3G5XPh8PhwOB/v27avlUtasGTNmoNVqUw995enYsSMAGzZsKPH9PXv24Pf7y8xicd5559GhQwdcLhdPPfVUgw8gt2/fjqIoeL1eGjVqhMvlqtRYgZPJ//73P2w2G1D6tUyv1xOJRBr8cVEbpkyZgiRJuN1uDAZDhbpsKYrCf//733L7ISf7eP/9738HIDMzE0VRMJvNZQbgBQUFLF26FJfLxbhx48Tf7QQjguIqePPNNzEajVxxxRWl1mRec801qKpar2cP83g8fPDBB+h0OkaPHl0sUDAYDAQCgWpNXJBMTJ+8KRxrzJgxdOrUqdRA4cCBAyX2J04aPHgw0PDSZcXjcYLBIBkZGekuCvD7hB6LFy+uUB/4OXPmEIlEOO+885AkqUF1EYJEl55YLFah/sQAffv2BRLB7x8FAoFUn/nyBkzecsstSJKE3W7nX//6V6XLXZ+89957SJLE9ddfz7333ovH42HdunVi5P4frFixItVt4oknnihz2ebNm2O328Xsdn+wfft2AoEAPXr0wGQyMWfOnHLXmTlzJkeOHOGTTz7h559/LnGZadOm4XQ6sVgstGzZMvX6mDFj0Ol0ZT7kvfrqq6kBki6Xi1dffbXyH0yot0RQXEnTp0/HarUSj8c566yzSl2uW7dueL1eIpFImYHlwYMHue+++3j//fdro7hl+uGHH3A4HPTo0aPEWgyj0YjZbK7yYDuDwVBic2HSzTffnAoUnn/++dTrx/YnLi3YaNmyJT6fr8x+yfVNTk4ODoeDJk2apLsoKZWZ0GPnzp1YrVYALrjgArxeb7VaEtIhHA4TCARKfFArScuWLQkGgyUeZ9OmTcNgMFR4mu4nnngCr9eLLMsNNjvNihUrMJlMRKNR+vXrh8Fg4PTTT8dut/Pmm2+mu3j1ht/v5/PPP0eWZe644w4MBkOZyyevv7/88ktdFK9BCAQCmEwmAEaPHo2iKCxdurTc9RYsWJAaIDtnzhy++eabYu8risLs2bMJBALcddddxd4bMGAAbrcbn89HOBw+bttz585Fr9cTDod56aWXcLvdeL1efv3112p8UqE+EUFxJUSjUWbPno3f7+eBBx4od/lBgwZhsVhKfeqUZZmXX34Zl8vFpk2barq45dq4cSORSKTULAgtW7bEaDSyatWqSm97+/btWCwWGjduXOZyyUAhFovxySefAPDbb79hsViOG6X9R6qqlhl01zfJWouBAwemuSTFVXRCj88++wytVssVV1yBJEk4HA6cTmetjAqvDVu3bk1N7VwZ0Wi0xBkUV69eTSwWY/To0RXajiRJ/POf/8TtdrNt27YGeSP94osviMfj/O1vf0u9dtVVV6UCCdHHMuHZZ5/F5XLRu3fvCo0fGDBgAIFAoME9ZNamadOmYTQa6dOnD82aNcPr9eL1estcJxaLIcsygUCAv/71r4RCITZs2FAs5/4XX3yBy+WiWbNmJbbY9e/fH6vVetx9OxqNMnXqVEKhEA888ACSJPGPf/yDSCTCd999V27ZhIZBBMWV8Nprr+F0OunRoweZmZnlLn/llVfi8/lKDXhfeOEFXC4XwWCwzoO7ZHeFcDicehr/o2TTcVUG2y1btgyArl27lrlcMlDweDxs3bqVBQsWpPoTn3POOWWu27hxY2w2W4O5EW/fvp1IJFLm1MLpIEkSw4cPL3NCj3A4jN/vx+12c+qppwKJfMcajYbvvvuuLotbZclR5WW18JTEYDBgMpmO6+ITiUQIBAI4nc4Kb8vhcHDXXXehKEqDm0Frzpw5OJ1O9Hr9cZk7rr32WnQ6Hf/973/TVLr646OPPsJsNhONRrn22msrtI4kSSiKgk6nE31Uj1q5ciWxWCw10Umy/3pZ1/sff/wRq9VK9+7d6dSpE4899liqRfGZZ54hFouxatUqvF5vqi/xH1199dX4fL7j+iS/8cYbuFwuunTpknqwbt26NQMGDMDpdJbaLUpRFMaPH899993HDz/8UIVvorhNmzYxceLEam9HKJkIiito8+bNqXykN954Y4XW0Wq1qRP5j2mvJk+eTDQaTQ1WsdlsdVrjtmDBAqxWK+3bty91mdNOO63Kg+2SI6mTE22UxeFwcOedd6ZSV+3du5dAIEDv3r3LXC+Z7aOyKcXSRZZlQqEQer0+3UU5zqhRo1ITepSUVeKLL77AarXSv3//1GsDBw7E7XZz6NChuixqle3atYtgMJjqj15RmZmZmEymYjfjFStW4HA4ivVHrKiOHTuiqioWi4WDBw9WaJ2PP/6YcePGVXpfNenHH38kFAod1+QMiZrOeDyOxWJh3rx5dV+4emLdunXk5OTgdrsZO3ZspdZt27YtFoulQc/UWVMURUnV+CazTyTvJTNmzCh1vSVLlhCNRhkzZgyQqDh54YUX8Pl8KIrCQw89hNPppHv37qVWBun1erKysnC5XKljefPmzXg8HtxuN7fcckux5a+66iqi0Shms/m42uUlS5bwj3/8g927d+NyuWokX/n777/PunXrRE7lWiKC4gp677330Gg0qQEzFXXDDTcQj8eZMmVK6rVdu3bx66+/4vf7efzxx1N9EusyuEtmbRg1alSpyyQH21VlZruioiK8Xm+53SeSOnXqxMiRIzEajbhcLhRFKfd7Puuss1AUpdSHid27d7N69epKl7021Mf+xH+UnNDj3XffPe699evX4/P5jsuakbx5rFu3rq6KWUw0GiU3N5dNmzaVOehSlmV0Oh2yLFd6FsFkreiaNWtSryUH/IwYMaLyhSYxcYhOp+PLL78sd1m/38/mzZspKCio1Zm9yjJhwgRcLhcZGRmlntP33HMP4XCYSZMmpa22MxAIsH///rTsPxQK8dFHHwGJgZVms7lS6w8dOhSgQXarqWmLFi3CZrMVa5EYMmQIwWCw1FSQycwU4XC4WLcIs9nMyy+/TDwex+VylRjY/tFNN91ELBZj2rRpwO/3/1tvvbXE68fjjz+O2+1mw4YNbN++nUOHDvHoo48yY8YMTCYTFouFUCiE1WqtViXCkSNHsFqtSJLE559/XuXtCKXTpbsADcEXX3yB0+lEq9WWW3v5R61atSIUCmEwGCgsLEwNSLFarYwcOZLMzEzOOussFi9eXKc1xcmBQ2XVFMPvg+VkWa5UF49kc2BlDB06lF27drF///5yywWJ5rTkZCB/NGnSJJYsWYKiKPTp0yct0ykfq772Jz5Wv379+Pbbb1MTeiRrVH/99VdcLhd6vf64Wu5LLrmE7777jilTplT63KiKn376iZkzZ6LT6Uosj06nK3Gk/4IFC7BYLJXuTwzQp08fNm3aVCyn9qFDh9BoNKVmRynPkCFDmDx5Mm63u9xlP/7441Re5U8//ZSXXnqpSvusKlmWWbRoETqdjoceeqjU5Zo1a0Z2djY+n49PP/2Um266qdbLtnfvXn755Re2bduWGkCp0+mIx+OEQqHUQ5DRaKRdu3b85S9/qbWy/Otf/8LlctGqVasqnQvdu3fH6/VW6Jg40SUHHB5baZO8DyUfbv94P5o8eXKpue21Wi3PPfccX331Fb179y73ftCsWTOi0SgGg4F///vfqW5DpZ3vVquVP//5z0yePJn//Oc/GAwGzGYzwWCQu+++m9atW/PTTz+xePFiJkyYUOIkLhUxYcIEdDodXq8XvV6P1+tN1aQLNeOkCooVRSmzL47VaiU7O5tmzZrRrFkztFotHo+HVatWoShKsQwJlTFs2DCWLVvG+PHjcbvduFyuVDAMYLPZ8Pl8Vdp2Vezfvx+Hw4FGoyl32RYtWlBUVMTq1atTfUnLk5ubi91ur1I/6dtuu42NGzfSuXPnCi2v1WpTAXjyQvfaa6/hdrvRarWYzWZWrVpV4bLXlu3bt6PT6epdf+I/uvvuu/n3v//NhAkTUkHxlClT0Ov13Hbbbcct36tXLz788MMKHUs14ZdffsFisRCNRlFVFY1Gg9FoxGKxsGvXLpxOJ2+99dZxN51kK8z5559f6X126tSpWBaZgoIC7HZ7tWsjmzdvTjAY5Jdffil18o9jJ0vR6XQYjUZycnLo1KlTtfZdGR999BEul4vs7OxU9pHS3H333TzyyCOsX78ej8dTqf7WlfHiiy+Sl5eXCgiSx5+iKJhMpuMeliVJ4uDBg4wbN4777ruvxsuTDMCDwSC33nprlbej0+nQarWpgOxkVVhYCPyeJzypY8eOHD58mJ9//pnhw4cXe2/ZsmXo9fpU14mSXHPNNRUuwyWXXMKcOXMoKCjA6/XywgsvlLn8wIEDWbx4MXq9HrfbzciRIznvvPNS7w8bNoxZs2ZV66Fn27Zt6HQ6Bg8ezPr16/nkk0+qHGALJTupgmJVVSuc5UFRFMLhMIqiYLfb6dOnT6Wbw5JGjBjBTz/9RCAQwGKx4Pf7+ec//1lsGaPRiFarJRaL1Xqf02nTpiFJUpkTDiT16dOHefPmsXLlygoHlkuWLAGocGD7Rz169Kjwsk2bNk01L7dv356nnnoKi8WCz+dj5MiRLF26lCVLlqQ9KJZluU7+ttXVvHlznE4nJpOJb7/9lrPPPhudTkckEim1/2wyuFu2bBmnnXZarZYvGZiW1L82FArx6KOPoigKX331VbEbYH5+PhqN5ribbEVIklQsreLUqVPRarXF+ldXxXXXXcfbb7/NrFmzSg2KJ02ahNPpJCMjg3PPPZfvvvuOjz76qNwbdE1KXjMff/zxcpc1GAycc845rFmzhhdffLFWyqkoCm63G1VV0el09O3bl3PPPbfMNHuxWIyHHnqIeDzOrFmzqtztpTTJTAnlDSwuT+fOndm/fz8///xzhXNpn2h27tyJy+UqsTZ31KhRfPjhhyxevLhYUBwKhdDpdESj0QqnWyzPmWeeycSJE3E6nYwYMaLUPsjHuu+++1izZk2JtdGSJGGxWNBoNOzdu7fc7Ep/tH//fux2O6qqctlll/Hrr7/idrsr1NVQqLiT6pvUaDQMHDiwxJ8BAwbQvXt3mjRpUiz4TTbTXHbZZVXeryRJtGrVCqvVitfrLXEARtu2bTEYDBXKw1hd27ZtIxQKFXuKLc2gQYOIx+MlTl5QmuQAgNoOkIBUf+wZM2bw6KOPYrFYkGWZV155heHDhxMOh9Oe5qgh9Cc+VnJCjyVLlvDxxx9jMBi48MILS13+8ssvR1XVMgfA1IS8vLzUDHwlMZvNjB07Fq/Xy/r161PTtXo8Hmw2W5UfaiHRIpF8oEmmMqxu0JJ8mABKnf554cKFhEIhbr75Zvr06UMgEECSpDrLuLJkyRKcTictWrSo8APdpZdemuoylpwGuyatX78ek8lE69ateeKJJxg9enS5gZBer+fBBx8kFAoxZ86cGp8yeOXKlcTj8VSmhKpKtmQsX768JorVIE2dOhWAc88997j3WrdujcfjOS515Pfff4/JZOKUU06p0bJcd911dOjQoVLnet++fUsNUs8//3wkSapS9ogJEyag1WoZNmwYkiTRpk0bXC5X6vsSasZJVVMsSVKZN/fadOutt/Lqq69y4403ltikOHDgQKZOncrKlSsrnTKqMmKxWKrPXUVuciaTqdQbdmny8/ORJKnU2f5q0hlnnMGCBQvw+/1YrVaaN29erN9gOByus6b90jSE/sTHSk7oceDAAQKBAH6/v8wHqI4dO+LxeI7rxlLTZs+ejUajKbO/ZmZmJvfeey//+c9/+Pnnn8nMzGTHjh3odDq6detW5X1nZGQQj8dTg2QikUiFao7KM2jQIDZt2sRXX33F7bffXuy9NWvW4HA4UFU11U3g6quv5scff+SDDz7gueeeq/b+y5NMY3fJJZdUar1HHnmE559/njlz5nDmmWfWaL/HZMBY0UlTklq2bMlFF13E7NmzefPNN3nxxRdr5G+oKArRaBRZlqs9U2Uy6CtpnMTJYvfu3Wi1Ws4888wS33c6naiqysGDB2nevDkAq1atQq/Xc/nll9doWU499dQabWUcPHgw33//fZW6UOzZswdJklJd8G6++Waef/555s2bV+nzUyjdSVVTnE5Op5Nnn302lfv3j/r160coFOLAgQO1Wo65c+diNpsrlFA+KTlooKJ9KBVFqdCUwTXBarXi8/nw+/0MHTr0uIE0jRo1wul0kpubWyflKUl9zU9cluSEHjqdrkLHSps2bXA4HMyfP7/WyrRp0ybi8TjDhg0rc7l27dpx3XXXoaoqX331FcuWLSMej1erZrdVq1YAfPnll+WmMqyMyy67DL/fX2JWiW+++QZFUbj++utTrw0YMCCVXqqi6dyqw+1243a7K92HuVGjRgwaNAiHw8GLL75Yo2XavXs38Xi8Qt2//ujcc8+lZcuWuFwunn766Ropz7Jly7Db7ZVuDi+N2WzGZrOdlJNBeL1eLBZLaqxISQYNGoQkSanMEH6/H4PBQDwer1ZrUF2QJAmXy4XT6WTbtm0VXi8nJwen04nD4Uh9L8nBf3a7PS2Tf52oRFBcT0iSRCQSKXHmrJqUzMhQ0Vm4IDHYzmg0snbt2nKX9Xg82O32WhtgU5Inn3ySp59+usTazJ49ewKkNXdqfc5PXBpJkhgzZgyBQIAbbrih3OWvvPJKZFlOpSqrDcla64rUOvbr14/zzz8fo9GIw+HA7/dX65hM9nPfv38/qqpW6vwpi16vx2q14nQ6i93Yjhw5AiQ+8x8D0ssvvxyDwVBi6ryatGbNGpxOZ5W7/YwZM4ZgMIhOp2PmzJk1Vq7kcVDVAOiOO+4gEolgNBrLndq8IpItQWWlt6yM7t27o9PpTsp8z1OnTkWv15fZDWLYsGGEw+FUN72JEydiNBobTEtcctKjykze8/3336PRaI5r6f7zn/8MUKHUjkLFiKC4HnG5XDgcjlS6tNrg8Xjwer2pZqeKSDZXr1ixotxlly5diiRJx814VZsaNWpU6qj4IUOGoChKmTlsa1ND6098rDPPPJNXXnml3IwDkGia9vl8RCKRWskRW1hYiMPhwG63V3idYcOG0bdvX2RZrtIkG8fq3bs38Xgch8OBx+Op0a5BV1xxBRqNhgkTJqRe+/jjjzEajSXWbp955pmpiVby8vJqrBx/lKyJq84DwEMPPUQwGOSnn36qdDesksiyjNlsrnZmhqeeegq3282+ffuqPaHCkSNHcLvdlWp9K8uAAQMAKlWTeKJYu3Yt0Wi0zGNOr9cTjUbRaDQoisK6desIhUJceumldVfQahgwYEClJz3Kzc3F7XYfF/h3794dn89HLBbD4/HUdFFPSiIorke6dOmCRqOptSbo7du3p9LBVUZysF1FBvckm4GrOzK/pmRkZOD1etPWFDl37lyg4fQnro7OnTtjs9n48ccfa3zbc+bMQZKkSucFvuqqq7jzzjv5xz/+Ua39JyeyAardb/SPevfujdvtxuv1prKUHD58GLfbXWoKudGjR2MymWq1tjgZ7FU1FzMkZhQbOHBgjXWjWL16NUajsdoPOSaTiXvvvZdoNMrkyZOrXBGRTG9Zky1jnTp1IhwO1+oDT32kKAqqqqYmuShLu3btsFqtqckxVFVtUCnsGjduXOFJj9atW4fL5SIrK6vE988991zMZjPjx4+v4VKenERQXI8kB9jVVv+gZHaAc845p1Lrmc1m/H5/KigoS25uLuFwuFJp1Wpbckah5IxHdWnHjh0Nrj9xVV155ZUEg0EWLlzIb7/9VqPb3rBhA4qipGb9qoymTZvW6OC/0gYAVUeXLl2w2+1MmjSJr7/+GrvdXuY5NHToUNxuN36//7iR+DVh69atVXqALslVV12VypqRHLhXVcnWqn79+lW7XO3atWPQoEHY7Xa++uqrKm1jypQpSJJUo8eEJEmEw+G0XK/S6ZdffsFqtdKhQ4dyl73ggguAxOBbg8FQpf7l6ZTMUnLsTLelSS5T2mC6iy66CI/Hw+7du9M2k+SJRATF9UjLli3xer211n1i586dBAKBKl3A9Xo9JpOp3JMuFosRDofrVd7E9u3bYzAY0jJ9akPsT1xVjRs35uKLL051BajJacuTtf01EaRVVYcOHXC73SWmiqqua6+9lkgkwuLFi1m5ciV+v7/YALuSjBgxArPZXCP9Yv9o8uTJADWWKzfZjWLGjBnVarXZs2cPsVisxtI9XnbZZfh8vlKnDi5PTk4OgUCgQuktK8NoNFZqcHNDsnLlSt58803+9a9/8fjjj/Pggw9y//33M23aNFRVrVBau44dO6YmwgoEAjXWx7+u9OrVC7fbXaF7fUFBQZktNsnuik6nM3XeClVXfyIXAUjkUtbpdDV+MQyHw6n0Q1UJWJs3b47JZCqzuSccDmOz2VJT0tYXyYeAlStX1ul+t23b1mD7E1fVmWeeyZgxY1BVlSlTpqQGIVWH1+vFZrNVqG9zbbrrrrsYN25clWZqLI/D4UCWZSwWCy6XC5fLVW66sAsuuAC3201hYWGN1yoePHgQj8eT6t9aXdnZ2QwYMACn08nTTz9d5etbKBQiEAjUWFO5JEmYzWbsdjv79++vdFmSf6OaPiaaNGmC0WgsMStJQybLMl988QVFRUXEYjE0Gk2x2QglSapwFo9kbupjc4g3JMmJkpYtW1bqMsuWLcPpdNKsWbMyt3XLLbcQCoWq3T9eEEFxvdOkSROsVitbtmyp0e3OmDEDo9FY5W4NycF2ZTWLr1ixAp1Ol0pfVV907dqVQCBQobRsx85cVl3JgLAuJjGpTwYOHMi1116LLMvMnj07NYlGVc2dO7faeYYbgvPPPz81q+Utt9xSoXX69OmD1WqtUDNsRSWny67J3MIAf/rTn9BoNNjtdl566aVKrx+LxbBYLDWSW/hYQ4cORavVVnpCheQsdtXpc12a5LG+Zs2aGt92Ok2aNAmHw4HD4eDee+/lmWee4ZVXXuGNN95g3LhxPPXUUxXe1pAhQ4jFYlWaur0+SE56VNYENzNmzEBVVa644ooyt2Wz2TAYDNjt9pNygGZNEkFxPZPsK7d48eIa3e5vv/2GLMtcdNFFVVp/0KBByLJc5mC75AW8tFzM6SJJEvF4vNwa8u+++45nn32Wjz/+uEb2m+xPXJuTsdRXffv25eabbyYajTJ//vxqBW1r165FVdVy8xM3dOeddx5utxuNRlPh7DCXX3450Wi0RmdAmzRpEhqNpkr9t8szduxYPB4PoVCIb775plLrrlixAoPBUOMP3eeccw5er7fSswSuWLGCeDxe5WtqWZIDc+tq5sK6smjRIsLhMLfddhsZGRnV6mY3dOhQ/vnPf9Z415W6kpz0KJl3/I9i0Rg+rw+v20OWvRHuw4Vl/gw581wkSeKHCd+Xu2xFfk7ErjsVcVLNaNcQnHnmmcyfP5+dO3fW6HZDoRCqqla5T2ZykoyyHDhwAEmSanQGoJrSpEkTwuEw27Zto3PnziUus3DhQlwuF9u2bWPFihXV/hzJTAINsWmvJvTo0YO//vWvvPPOO6lUfVXp+5ec/alp06Y1XML6RZIkxo0bV6l1nE4n4XAYnU5XY8fanj17ypxRrDokSWLs2LE8++yzrFmzhg4dOlT4PFu1ahVAjU/lK0kSdrsdVVXZtWtXhdJJJicoCofDNZ6NBBIzM/p8vhNqZrt9+/ZhsVhSqQ1rQkO/trZp0waPx8P8+fMZMmRIsfe+uf9/2BvbOTPWFf8b5Xej6YyBtQYL1rCxQsuXZz47uOTFm6q9nYZGBMX1TDLTQ01av349Tqez2s2Oer0erVZb6lS+ya4H9fFC1b9/fxYtWsSCBQtKDIqTAXHyM3zxxRd06NChyje8ZH9io9FYrXI3dJ07d+buu+/mv//9L3PmzKl0UJxMz3Sy1lpURI8ePdi3bx9Tp06t9jS3ubm52O32Wp2uu1GjRtxyyy18/vnnfPnll7Ru3Zrs7Oxy19u3b1+tPXSPGDGCn376ie+++44HH3yw3OWTs9jVdBeTY8mynPYp6mvS559/jk6nS2WOEBIT3Lz33nvMmjWLKVOmpB6CtJJE24zmoEKh1s8a874KbS+Q58PtCrDYsBWLoepjexwHNTSiZrspNRQiKK6HzGZzKi1PdQPZaDTKhx9+iN1ur/ZI8mbNmuH1elm/fj19+vQp9l4yqb4sy9XaR20566yzmDdvHjt27Cjx/cmTJ2MwGLj33nv59ddf2bhxI8899xyvvPJKlYKDk7U/cUnatWuHXq/HaDTi9XorFUj8/PPP6PX6Gp0s40Rz+eWX8+qrr7J06dJyg+KCggJefvllhg0bxvDhw497/7vvvkOr1dZ6l59evXpx+umns3LlSp5//nleeeWVch+mw+EwUDsP3WeccQYTJkxItUqUJ5l/vKZmsStJ8jwJBAJpH2RaXYqicOTIERRFYfDgwekuTr3RqlUrsrOz2bt3b7HXdZKOgDaC7A5z1Zu3VXh7xtmzWbRoEUcaR7jzzoqv90dTnviEvrG2eI4U4Wz8e8WQx+MhHo+nNQtQbRN9iuuhtm3botfrWbJkSbW2oygKTzzxBC6Xi+zs7Gr39S1rsN26deswGo2VmimvLplMJgKBQIkD6Xbt2oXJZCIej9O8eXOuuuqqVJNqZZuzk07m/sQl6dOnD3q9vsxBJSVJNpnXRv/WE0VGRgbBYBBIDEYry//+9z/MZjMLFizg5ZdfPq4Gfvv27fj9/jr5vi+99NJUpo1nnnmmzGWj0ShWq7XKUztXREZGBk6nMzV9cFny8/NrdBa7krRq1QpJkmo853c6TJ8+HYfDQfv27dNdlHrn7rvvLjbYcNy4cZxp7811kbO58967K7WtoUOH4vf7q5xiMCmrZ0skjcTGuatSr02fPp3nnnuO55577oTOoS2C4npo0KBBQGL2pup45ZVXsFgsxGIx7r67cidXaeWSZZktW7awYsWKYt08kunOevbsWe391BabzYbdbj8uT+r48ePR6XRcddVVqdeeeOKJVLqrOXPmVGo/u3btQqfTEQ6H62VXknS48MILicVirF27tlLrFRQU4PF46l1Gk/qme/fuWCyW1NTMJQkEAng8HtxuNz6fj2AwyAMPPJCaOa2goACbzYZOp6uVtHMluf/++wkEAmi12mLTXP/RsmXL0Ov1tGnTptbKMmrUKDQaDT/88EOZy+3bt6/GZ7ErSbISorYmc6pLv/zyC5FIpNzc20KC7nCcPb6DNG3folLrSZKEVqvFYrFUa9rnHkNPQVEV8jfsR1EUXn75ZZYsWYIkSTidzlqdSTPdRFBcD/Xq1YtQKMTBgwervI0vvvgidRMsrxamomw2Gz6fLzWV76uvvsrDDz/Mfffdx8aNG5FlORXQ10ddunRBq9Uyb9681Gt+v59QKITb7S7WV1Gr1fLggw8SDoeZOXNmpXKYvv322+h0Oq655pqaLH6D5nA4CAQCRCKRCq8TjUaxWCwNavrWdLniiiuIxWJlti598MEHWK1WzjzzTF5//fVUCqeXXnqJn3/+me+//x6dTlens4NJksQzzzyD3+8vc7KXZAVBbQ7i7d+/P263m0OHDpW5XG3MYleSfv36EY/HK50/uTaEQiHef//9clsiSnLo0CFMJhOyLNfKoMQTTTQcob2pGfnG8meQLcnAgQPR6/XlPtyVxdk4gz2+XKTCOA8++CDBYBCfz8d9992H2+1mz549FZrhtiESQXE9JEkSkUikyv1zFy5cyMaNG/F6vTz55JM1Wuvz2GOP0bdvXxo3bowkSamBARqNhmAwmEqoXh8lZyI7dgKSDz/8EIvFUmI3h5YtWzJixAhMJhOvvvpqhf4ec+fOTY2wTqZVEhKaNWuGw+EocwKYY82bNw+DwUDHjh1ruWQNX6NGjQgGgyiKUuJxKssye/bswe12c/nllyNJEo899hinnXYakiTx888/s3nzZoLBIBdeeGGdlt1sNtOoUSNcLlepk73s37+fSCRSI9M7lyUrKwuXy1XmMbp9+/ZamcXujwwGA36/P9U1Jp1ee+01Dhw4UKXZEz///HP0ej0jRoyohZKdeDb8sgqrwYKta1aV1r/ooosIhUKsX7++WuXYrT3C1swjqdaj1157jWbNmnH66adjs9n43//+V63t11ciKK6nMjIycDgcqabNitq5cyeTJ08mFovx97//vcafzLOzs7n00ku58847efLJJ3nllVcYN24cr7/+Oq+99lqN7qumtWrVCq/XS35+PpDoc7179248Hg+XXXZZiesMHz6cjIwMXC4XTz/9dJnbVxSFqVOnEgqFuPfee2u8/A1dMoioaHeUFStWAKI/cUV17doVq9XKjBkzjnvv888/x+Fw0L1792IDR0eNGsU999yD3+9PDexKR5ef2267jUgkwo8//lji+9FolFAoVOvdOi655BKAUvNq//DDD6kZO+uii0l9mK0tLy8v1VVu586dlcoEoygKBw4cwO12i/O4gg4sS/QH7nl+1VpFDAYDsiyj1+tTg1Mr6+OPPybHmUdMkmmX2YonnngidbxfeeWVuN1uDh8+XK0uGvWVCIrrqW7duqHRaCo1baPX6+Xf//43BoOBCy64oNR8vCczSZIwGo0oisLEiRNxOp106NChzAwTyX6PkiTx3//+t9Tl3n//fVwuFy1atDjhc+pWRf/+/fH5fMeNtC5NXl4eXq9XDM6poDFjxhCPx/n111+Pe2/16tX4fD5uuumm495r1aoVr732Gq1bt66RsQdVkZ2djUajwWazsXnz5mLvhUKhOpvmu1evXrjd7tSD87Hef/99Vq5cSTAY5Pbbb6/1skAiX7HVak1rF4q3334bk8lEKBTC6XQyefLkCq87d+5cnE6nGBNQCfo8md3egzRpW/VB67169cJkMjF16tRKr7t//362b99O0B/ksshAmsaL952XJIlhw4ZhtVr5z3/+U+Uy1lciKK6nzj77bAA2bNhQ7rK5ubk899xzPPvsszidTjp37txgZ/mpba1atcJsNrNq1SoWL15MMBjk5ptvLnOdZL/HZH/Dkm4KRUVF5OTk4Ha7+fvf/15bxW/Qjh0EUt502rFYDLPZXGcDvk4EmZmZBAIBZFku1oVi2rRpuFwumjRpUmr/bK1Wyy233JLW4OW6664D4LPPPiv2+pIlS9DpdHWWlq9p06a4XK5USwXASy+9xP79+/H7/Tz00EN1VuGQ7DqUrgwUyW4rHo+HsWPHEgqFmD9/foXX/+mnn4hGo2KAXQVFwxHamZpTYKpef93LLruMaDRapePmww8/RK/Xc9mVlxMNRYjtPX7SrtGjR+N2u/F6vZVuza7vRFBcTzVt2jSVM/P+++/niSeeYNq0acUGOqxevZpHHnmEt956i3g8TiwWo1evXiXWBgkJyX6+P/zwAy6Xq8I1UGazmUceeYRAIMDixYuPywwybtw4bDYbw4YNS3tzZ33Wo0cPDAZDiU38x1q0aBFGo1HUEldS586dsVqtzJo1K/XanDlzCIVCdVa7WVXdu3fH7/ejqmqxG20yY0ld9dFPdqWaNm0asizz+OOPEwqF8Hq9PPPMM3WadjI5e19OTk6d7fNY77zzDgaDgTFjxmCz2TCZTDidzgplRiooKECv1xONRis0OYsA6+euxGowY+/auFrbcTgcqVlsKzM2ye/3EwgEcLvdDB48mH3xI2TF7SUue/HFF2M2m8tsPW2IRFBcj911110YjUZUVUWj0fDbb7/xxBNP8MADD3D//fczadIkDAYD0WiUoUOHMm7cOMaMGZPuYtdrAwcOJBwOo9VqicVi5dYSH6tZs2bccMMNQKI2K5kdZP369cTjcbxeb5WmMT6ZjB49GlmWUyn8SrN06VLg98GRQsVcccUVxONxFi5cCMDy5ctTs1k2hJH/o0aNwmg08uGHH6ZeO3jwIOFwmF69etVJGbp06YLb7cbtdvPwww+j1+sJhUK8/PLLtTqDXUnat29PKBTiyJEjdbpfgN27d6MoCj6fLzXhxo033oiiKHzzzTflrv/ZZ59hMBhEX+JKOLg8MblUzxHVz7KSfECePXt2hdf54IMPsFgsqZZqubGO1vZmHNl7fEaW8847D4/HQywWY9++is241xCIoLge69ixI48++ijjxo3jzjvvpEWLFsTjcXQ6HQaDAVVVufHGG3n11VfFJBEVpNVqCYfDSJJENBqtdHNx3759GTx4MBaLhZdffplQKMRHH30EUO9r4uqDzMzMVI7c0gQCAY4cOYLb7aZbt251WLqGLzs7G7/fTywWQ5ZlJkyYQCwW49Zbb0130Spk6NChuN1uCgoKUoOEYrFY6pytKy1btsTpdGK329FqtbzwwgtpaQFKZiKqSiq06nr33XfR6XT8+c9/Tr3Wvn17gsEgkiSVmbouGo2mBjGLrBMVpz8is8t7gOw2zaq9rcsuuwxZllMPyOWRZZm9e/fidru59NJLAcju3RqAzfPWlLjO1VdfjU6nO6EyUYiguIFo2rQpt99+O6+99hrPP/88zz//PM8884xIV1UFWVlZqKpa7pS4pbn44otp0aIFLpeLRx99FKfTicFgEAFcBTVu3Bin01lqk/Cbb76J3W6v9TywJ6pOnTphs9n47LPPMBqNxONxWrdune5iVdiAAQOw2WyMHz8ev9+P3W7Hbi+5Cbe2/OlPf8LtdpOVlcXYsWPrNCD/I5PJhMViqXKKzqrYtm0bWq2WYDB4XG7o0aNHYzAY+Pjjj0td/8knn8TlctG5c+e0fncNSSQYpr25BYXmmknB17RpU3w+H6FQqEIZQ7744ovjMtT0HNqfuCJTtLnkB6DTTjuNYDCIRqNJWxefmiaO1gZIq9WKAUjVcM899zB06NBqTVJwxx13oKoqLpcLv9/P/fffX4MlrB0zXvmGaS98le5ipJrmZs6cedx7e/fuxefz4Xa7RVegKrriiiuQZZmtW7ciSVKDm0Tm6quvxuv1smXLFhYtWoRWq63zvuWtWrVi3Lhx3HXXXXW635I0a9YMg8FQ7byzx9q4cWOxSYz+6IMPPkCj0XDjjTce996QIUNStfklTff72muvYTKZiEQi3HHHHTVW5hPd+p9XYtGbcHSruf7XrVu3xuFwpLqjlWXVqlX4/f5iY5KsThu7/Acwe0oPFW+44QYkSeL999+viSKnnQiKhZOOw+FIBWbV8dRTT2EwGBg+fHid9zWsrF8++JFeBc3p42nJ1Kc/T2tZBg8eTCAQYOfOnce999///he9Xt/gArn6JFlDZDQa8fv99O3bN91FqhStVkubNm1wuVypB6fTTjstzaVKn2QL1Jo1a6q9rZ9++ol//OMffPPNN8ybN4/77ruPTz/9tFgt9Pr16zEajUQikVL7cfft2xebzcbnnxe/lkyYMCE1lXhNzaR6sjj4W+J6WNX8xCW5+OKLUVW13Nzws2bNwuVykZWVdVyGGq85QltzM2KRkrvw9O7dm2g0itForNAAzPpOBMWCUEXJWcHqe5+5LYvX0XyTnm3ePawO5NAv1IYZr5Q/UKa2JGdCNBqNxWqali9fnroZn8xBUE3o1q0biqIwatSodBelSm699VaCwSBOp5NgMEjXrl3TXaQ64z5cyMw3JhLyJZrRBwwYgKqq7Nmzp0rbk2WZTz/9lPvuu4/Fixen8rRbLBZ0Oh07d+7kwQcf5D//+Q+hUIhPPvkEVVW57bbbSt3mtddei8/nKzbz3/Lly1m1ahU+n4+xY8eKLDyVZDyisNO7n8atay7HfceOHfF4PBQWFpa53MyZM4lEIiWOi7F2zMSiN7H51zWlrv/Xv/4VWZaPS6fYEImgWBBOYO7DhRR9sZWwHKXzPWcy4pVrWefdTo/8psx5e1LaytW1a1dMJlOxGowvv/ySWCzGnXfembZynShuv/12rr/++gY78v/YVInRaLTa/VIXfDqTyQ9/nAo06ytvvptVT0+n5+EmLHhkAgGPn4yMDPx+fypFZ2V88sknPPTQQ+zcuROdTofJZOLBBx/kueee4+GHH+a5556jSZMmAOTn5zN27NhU/+WycjHr9Xqys7NxuVzMnj2bffv28c033yDLMrfddhuZmZlV/QpOSon+xM0pspSdv70qGjdujMvl4qeffirx/TVr1qQGlJb0d+t8dqK1YN9v20vdR/v27dHr9TgcjgrPWFpSS2F9IIJiQThByXGZxc9Mpqkli8gQJy27tsVgMnLui1ex1beHDrucLPj0+H69dWHUqFEoisKyZcsAmDhxYipvdEMaFFZfSZJEp06d0l2MarnllluIRCJkZWVVeRshX5DJD3xE+01W+ksdmffIN4QDNR941AR/kZdlY6fQ3taSldEcutrasOjR7/EVelAUBY1GU6ntzZ07l+3bt6OqKs2bN+f555/n//7v/4oFPiaTiTvuuIPXXnuNLl26EI/HCYfD/OUvfyl3+8m/z/Tp03nttdcwm82cd9559OjRo9Kf/WS3fu4KzHoTjm5NanzbV155JcFgkF9//ZXHHnvsuFrjr776KpXJqiQtu7UlL1iIcqDs8+auu+4iFArx448/ljuwb9q0aXz44YeMHz++Up+lLujSXQBB+KMjew8haSUymmVVuYZo55ptrP9iEdqQirlnJoOuGYrVaavw+nJcpvDgEQoPHMGdW0jEH6Lf6NOxN3KWv3I9Me3pLzjF3pG1jv2MuvT3ProWh5WBT1/E6qdm0HJdNsu+m8dpV5xbp2Vr1qwZXq8XSKTcWrRoEZIk8fTTT9dpOYT6q1WrVtx9991VDoq3Lt3A4U/X09/RiZXxHPSNLfSmI3Mf/prhr/0Zg8lY4W1FwxH2rN9B7ua9+A+66X7hqbTtXXOZf4LeAIse/4Gu9jZsb+/hkr/dwuz/TqLzntYse3wK9kw7SOD1eis0fqGwsJBp06ah0+r4y023061P9zKXTw7IvOaaa1AUpULX3caNExNMOJ2Ja2KzZs0YOXJkBT6t8EcHf9tJttqG3iMH1Pi2O3fuzH333ccbb7yB1Wrl+eefp2fPntxwww0cPHgQrVZLKBQq9SFakiQOKgU0wVXmfho3bkxmZibBYJCJEydy1VVXlbjc3r17mTdvHhoVzjt3SHU/Xo3TqKqqpmPHp556arFpNE8GFb3YnEh+/WI2BRsOcMFT11ToJrTk259p+psGvVaHN+LnSKQInxRGtmrQZ1rI7t6S7mf3xeI4fhY6RVFYMeVXjszeTk9rexRVxRv1k2l2EYiG2Bbbj3NgC0674hyMFhMAhbn5bP11PfmbD8CRKC7ZgkNvxWW0o5WKZ/g44M9DO6IJp15U/1OFLfx8Fm3Wm1gb3MGoN28q8bg7svcQ216aT5bRRfB8J/1GDqqVsmz6dS05k1bi7NGUc2++MPX6008/jaIo6PV64vE4LVu2LLMfY1V4jhQx7/XJZPZswZnXDq/Wtqa/9DXaPRHirQ30v+psmrZvUUOlFGqSoijM/vf3tNvnJBKPUHSqnrOvT/T7n/biV/Rxt2SNP4cRr12P3lhyv9f9W3azcvw89D6VDGw0tWSh1/5eh5QXLMR1Szfa963+dM/hQIhfHvqGHvZ2bGlZwPl3/54q8uf3ptIux8aS8Ca2ZR7hrLPOqlCXmIfufxCrw8rwUG+MIQnzmLb0OKdftcv6R+vWrePLL7/EbDbz1FNP1fj2Txaz/v4JZgyc/XbtDjCePn06s2fPxul04na7MRqNmM1mhg8fnpqgpSQ/PvcFff2tkW5rS/OOpef2DwQCPPnkk8iyzGuvvXZclqxtKzbyxRdfIjn0XBodiLurhnNuvKDGPl9FlRV/iqC4DkSCYWa98C1dAk05FM7HkxGj7Xnd6Tmkf5WCZM+RIrQ6LbaMus14EIvEmP7U56DC6X8fWWaCcc+RIub/63tOMSVuGivl7VzyStmzx+XtyeXAa8sJyREKm8WQCyMYwhJOjYUm5kyMusSo2JgcZ28gF7cxjLG1g1b9O3Jw3S70m0J0dLTCHfayw3SE/jcPoWn7FqyY/CuHf91JR5riNNlxh73si+aRKTlobvs9/c2hQD55ipuYQQWzhM5mxJhhwZppJxqKYP4tSFNrFqs1Oxkx9mpMVnMNfKs1b8fKLUQ+38WRiJtTX7iozBry/Vv3cPCtFTS1ZpHj3UuwqYZOw3vTeVDPaj3AxWNxFn0xm/DyPHo4Eum0onKMvNMkBo05F4DZs2ezaNEiVFXF4/Hw+uuv1+hD44Z5q/BN2EEre2LgygbvDtpc249ug/tUeltTnvqMUyJtKQi5yTS7kBWZLf49qB0tDLxmCI2aVb2JX6g5+fsPs+SlafSzdmKTdyc97htCi87Fu+P8+OwX9A20ZnUghwtevwGd/phgd08uS/4zk55qaySNxL7AIbxSCNkuYWpqJ6tjM1RVxTTHTTAeofldp9Cya9sqlzcSDDP3oa/obe/IhuxDjPzHlcctM+/j6bg2K0yyrMBptnP/Iw+Uur1DOw8w8Y3PyM8M0zvWGr0PWqiNsOjN5J8qceafq/ZgGAmGObL3UImfNRQKYTaXfS10Hy5k58otHNl2kHCuD53TyOBbR+Jq0qjcfbsPF7J+9m9EgxHioRhyJI4SjaNEZTRaibP/Pgpn4/oxW+OhnQdY9vYs0EuYmthp1D6blj3a0aRd81KvbeFAiH1P/somzT4uefWWWi9jOBzmjTfewOfzYTAYcLvdjBs3rsx1Vk1fTPYCmZyOHobcVvasre+88w6HDh2iSZMm3HHHHezfsps1ExdjOajiz4izSr+LdoWNyGrWmFOvOYcmbetu2vQkERSn0ZpZy/BN3kU7RwvW+bZjUHR0diQuuHmBAvbpCmnUvwVNu7TCbLdgspmxOGyYbGYkSSJ//2G2LdpAwZZcNEeiZOGgpa0J3oif3U09nP+PMcUu6rUl6A0w79Fv6W3viKIqhGJhtpoPcc59Fx93QVr8zVwMv3ppbM5gjbQbogr9DZ3Y1t7NeX+5qMTtK4rCrLs+obOlNeGLGh1XqyHHZQ5s3cPO5VvwbMvD5NHQypiNw/h7wLfHdxBvOw1n335hiYFgJBhm2cR5eH47SCPFSpEmgJqlp1GXZnQ6o0e5swh589388tz39Dd1Yqd3P5l/6lortS/VsXzSApQ5edh0Zqw3d6Zdn/L7lR7YtpeVn/yCo0hPR0eiFuCAP49DJg+Z/VrRrGsrWnRtU6GHgKJDBSz6YCbZh0w0t2VzOFDAwUwf3S8awKGP1pJhcCBd2YKuZ/RGlmUee+wxzGYzgwYNqrGmV0VRmPXGRDrnZuKJ+omcaadg2yHaF2Rg1ZtZE9vJ6fddUKFZoxRFYerjn9Jf7cDqYA4jX7me7Ss2sW3aapp6bbSwNSEqx9ge2A+AAR0GjQ6T1ohZa0QradkS30vXawfReaDoa1nTig4VsG7WctwbDuEMGGlna44KrDPt5cKxfy712ph8yFkV2sao127CV+Bh/ptT6RpuiklnZG1kB31uP5c2PTuUuP6an5ZjmllEUcRLuwfOqFKrQSQYZvbDX9LX1ol1GQe48JGrS1123vjpLNy1gqYBOy2ymqG3GTE6zJicVqwZdvQmPZsnLqe1ksV06xrUoMwVV1xBt0G92L9lNzv/vYTWtmZsbnyYCx76U7llCwdCrJ+7gtwVuzDmq7QzN8eiN7EymsPI5/6camkrTcgXZPbLEzEWqDTWuci2/B78RuUYBq0efzTIVu1B+t549nHfs6IorJq+hIOzt9BN1xqzvvT9bffuo/sjQ2pkFrjq8Oa7Wf3kdFpbm6HRaNAd09IYiIY4HC6gyB6m88WnFHswXz55Ic2XwPYuvmItabVt8+bNfPrpp1x88cXl5uwPB0IceGoxG6S9XPJy2ZVbsizzwAMPoNVqObtRX/p5E/HO0sAm1jc6SNAT4KXXX05rq7kIitMg4PEz5/kJ9FXbURD24DvFwDk3JZoJ8vbksnrSYuI5HjoaWmI1lBxshOMRTLrfuxwc9B/hCG7kRjqM+So9HO3J8e4l84rO9B5a832Rkgpz81n1zAw6O1qzPuMgHc/tRc7ny+lr60RR2MueTDfn3XspcjzOz899R39DJ/b6cjGNaskpF55BJBhm0YMTaWFqDFe1oMugnsft48d/fUlfXyvWuQ5w4f+VfnM4lhyX2bFqC3uWb8Oa5eC0Meei1dX+pCYLPpuFY0UUh8HKRttBLnjs6jp5MCnLoZ0HWD5uFqdYOpEbOALDGzPg4spP/b1/y27WTVmGZneQzpbWqdp5RVXID7kpivkI6qIoJg2amIo2psGk6LBIJpwGW+ohZbNnF9p+GZx148hUE/WeDTsoem8jMTVOi3sH0LxjK/71r38RDod59tlni5Vj2/KN7Fu9gz6jTiOrZcUHn/gKPcx76jv6WTuxwbuDfg+fn6qJyN9/mEVvTKOPtj2hWJjtGfkMu/9yzHZLidtSFIWpD4+nv64TK8M5jH71xmLHl6IorJuzgj1zNuLwG4gjE0dGllQUnYqq06CJq3TXtcGg1bMusIM2V/Sh15D+x+1r78adbJy5gvhuP5omJi74vz+VeyxHwxFmPPEFWSEryukuzrqufqcGrEnTX/4Gy26Z9vYWSBqJSDzKjuABwo1U2g/rRc9zTyl3G5Mf/4T+cns2eHfQypCN02RnjT+HTtcNLPEa9Ue/TVmIa36Y3FA+PR4fSmaLsiddkOMyWxatY9fCzUgHI7Q3NcdmsLDGto/RT/y5zHUB/u/+h2ljacpFcsnX+pgS40sWENRFufqaa4rlGPbmu1n05A/0cnRkpbqd0f+64bhjefPCteyctxHDYZn25uapQHSnd38iK4IC/Q2d2OLZTY8Hh9CsQ8sSy7Fx/moKv9lKO0cLcrx78enDaBoZcbTJpEXPtrTp1ZGN81ezb+oGepkTrUjrQztpOao7rXq2Y+knc8k4qKWNvTmBaJAt6gGaDG6Po2kGJps5UXFkt2JxWlk6YR7N12rJCxXS6s4BtOrertzvsTZEgmHmPfgNXWxt2Nc7ymljzmHfxl3kbt2Hd28BsfwgpqCWLrY26CQt2737CLSEU/98Lss+nEPfaBus93Qr9xhKp7l3JNKtDf3f9eUu++2337Jp0yZOi3ZEdccwn9+CmUvmEo1GefLJJ8nISG/NvgiK69iy7+ah/pJPS1sTVoZzOOfRS0ttJgr5gqyevoTAES/xSAwlIieahmIKxBQkq56sbs3pPLhnsRNGURR+fmcKWVu1ZBjtrFF2cu4jl9V4M9L+rXvY9eYSmlsas7tTgKF/vTj13to5v5H7/UZ6OjqQFyggrsqJ7gXKToaPvapYv9/9W3ZT+L8N+OIBej87stiAtXVzf8M208fm4B4ueOvGBtHv+sjeQyx7eTp9bYlaY80ZjRj85+F1XvZ4LM5Pr0+k7SEnJp2R9bq9DPu/MZUaVFgaf5GXDXNX4dmfT+RIAPxxjDEdLslKhtFJMBbCFw8SJEJUK6MYQGPR0W5Id3qdV3IC+rVzfsM0vYjccD79nxt13MDFgMfPnBcm0ltug16rI67IbPPvIdbKQO9LBpV509u8aC1FX26lhTWbtaa9jHry2hIDy61LN7Dj09/o7eiIN+Inh1yanduJ/qPOSC0vx2V+fOgT+hsTg7QuernkftkVcXj3QZa+8xNdos2wGSys824n6/wORPxhCtfsp3HIRmt7opbLHfbiMjlY69vO4CcvKfW6kbcnl7Uvzaabox15gQKyrZmsDuRw6n3nlxqsVMX6X1ayc8paMEmc/rcR1aqNKzpUwOb5axh05ZBqnSdz3p5E172ZiYCrUZwmp7Sl9/ABpT7clEZRFKY+9gn96ch673ZajulV6nFbmsVfz6XJCtgTPMSpz4zCkeUqtv3tKzazY8FG4nv8tJGyaWROHO/7fIfIM/jIPLVVhfu6P/jgg0iSxAN/vw9fvgd/gZeg20/YEyQWjPDrgdVorXpatGhRYr7ZWCTG9Ec/o7+hE2v8OQx4cCSb5q7Gu/4wreRGZFsTWSmSQbCzexN6nn9qsYfSue9MplWOBX80ABc24ZQLfq9hlOMyM178mm7upvhiQXwDjJx13fllfqZ9m3axavw8OseaYTdaiclx9Fod27x7iXYwMPjm88sd3Lx80gLs84ME4iFcN3al46ndKvR9JhXm5rPs2alISHT+6xkVal07lhyXmX7/J/SzdmJjszxG3HtFqcse3n2QFV/Ow7ofOjpaEVdkgrEQRyJuzqnl/sTVNfnhj+mptKbF02eU22r461ez2bBpI0fwcM211/Cfd97GYrFw2WWXMWBA7VXgVZQIiqvg8O6DrJu2nNC2AlAh8/Q2nDbm3FJrBJN9KEPLD9PT0YED/jyUcxpx+pW1O7qy6FABC16eTD99B/JDbvI7yvS5eFCN9NPZunQDvi9ysOktFJ1uKPWzLPtuHr45+xLNxiNaMvCSkmsol0z4hea/aVgX2pka/OUr9LBh7E8YJT2tHzm9UrWC6aYoCr+8/yO29TFa2LLZ7N1Fo1Ed6T/qjFLXyd9/mIL9R2jdo32lb+J/3PeamUvx/ribjo5WbPTupN1NpzaIJvqFn8+i9Tojm/y7GPbGdama5IWfz8K4NEBzW2NWhbbRdEgncpftJMtrpo09cTznePfitUchriJFQS9LmDFg1ZrJNLnwRP2EzrRV6Lxb9t088ubvpIu+FRa9iYP+I+TavXQe3Y+cb1ZyiqUTKzU7uOhfN9TIw07RoQIWvj2Ndt5MMkyJ8QDheITtwf3EmxvoeF5POg/qyYwXv6F7UVMOhwqwX9WRHmf3LbadDfNWEfpuN42MTna29XLWzSP56cUJ9Ai1ICJH2dvSz/B7L69yq4kcl1n89RyCiw/Rw5GoVTfqDITjUTZr9zPo7yMqdX3Zt2kXqz6eR1e5OVaDhZXs4JIXb6pS2db/shLTj4XsCR7irNeuLLcZvyIO7TxQrUGT8z6eTtvNFnL8e2n+p17sWbYNeV+AVpossiyJSoojwUL2U4ChvZPu559SpRrNF198kXA4zE033UTbtm2Lvff999+zdu1aAoEAr776aqnbUBSF6c9/TW9fooYdwBcJsCN2EF0HB71GDTyuD/YfbZi3iuDEXWSaXOS0KGLk/WPYv3UPG9+cRw9He9b6tjPg4bLHnPyRN9/NwvemE/dE6HBBnwrV9B9r3dzfYMphVFSkS5uX2BpTkh0rt5D30XqaWDKJyjE0wK4WXs6//4oKn/OTH/6Y/lJHVpt2c9E/y69FTdq8aC3bpq6iqd/BkSZhRo+9tsLrpsMvH06jU46Dw2dpy7zHrflpOeaZbnKi+1mRtRefz4fdbi/1YS0dRFB8lKIouA+XPLOLIsvkLNlE3srduLxGOhztW+kOe9GgwWmyJ/oAW910vfTUVPNa/v7DLPlwNk3zLTSzNiYvUMD+DC9DH7i8RmrrKmr1zKV4p+xMlfuAP488jQdtCwstB3Sg25l9kbQSIV+AkC9I2B8iHAgRDUZQVRWNRoNGK6HRgEajIX/3YZzLoyiqgubipjXWPWPqPz+jX7gtax37GPXYn5ly74f0MXbg0CANp11+To3so65FgmHmvjWJ5getZJldrPVtp8O1/ek0sAfbf9vEriVbiO7xkhW3p2oEFVXhSLCIQtlLSB8DlwFrCyfNe7Shfb8uJd7so+EIK6cuJm/ZLpqEE33LjwQLKewOQ/5yUYOoYU+a8eq39MpvxspIDv3/NpQ1b82lry3R7UZ7XvZxKeK2Ld/I1umrsOZp6GBriT8axBsLEFIjhDUx4joF1axl4O3DKl1T6iv0sPTLn5E3eehma5vKOrLKsIuLn7mhpj5yir/Iy6JPZ2Nt7OCU0WeUmEnltykL0c8pwqI3s6d9gOF3XgrAz+//SMstRvyxINKopvQd8fvMf9uWb2TP+JV0c7Rjs2cXrW88pULdAJKC3gDz35uGcxe0tjcjL1DAgSw/g/8ykiO7c9n25W/0NrcnKsfYJO1n4N+Gl/ldb/p1Ldu/XUEvY3s0Gg3rQztRNSqnWDqzxraX0U9ULgg4svcQu15ejE4j0fz+AfUq+8ectyfReU9GKtDMCxZyQC1A19ZGp3N60f6ULtU+PydOnMiGDRuKTeIhSRJ6vR6TyZSaSa4iTdOLvppD/oYDNO3fln4XDqpUejpI3PdWPD+Dno4OrPHn0E7XFL1Wz47mRYy4f0xarkXblm/E+9k2LDoTwfPs5WYJWvb9fKwL/KhAaIiDph1bsPm/C+nhaM8673b6PVD28Q3w43Nf0tffipWxHC56peqtSQ1B7o79yO/vKvPczfltE+HPdxKSo7S8bwCvvv0GDoeDUCjESy+9VMclLl21guJbbrmFH3/8kezsbDZs2FDiMsk51GOxGFlZWcyfP79ahaotclwm94nFZS4Tk+NsD+wj1FhD68Fd6DnkFOLRGIu/mEN4bT7dre3QSVq2efcS0EbobmyDUWdgk3cXun6NOPP64ZW+wNSUeCzOmplLyV29GykvSnMpk8ZHBzjIinxcirHyHPDnkXVzDzr0r7kpVhVFYcbdn9Dd0pZ17Ka/tiMrtTu55F8lJw5vSHyFHn4ZN5nO/iaYdUb80SBOkx2AorCXfbE85MY6jJlWwnl+8MSwxgxkGlxkmV2p7cTkOAeDeRRpAihOLTqnCWVvgA765tiNViLxKNuC+1DbmBh8y4h6M/K6sib/33j604FIPIqKyiZrLiMeKb/2rzZTGx7cvo9V3yzE4DAVS42VDge372Pja7/QzdmOlbEcMGrpr7Rnq2cP3R44p8TUSIqi8NOb39NqjwWTzkjBmXoGXnp2ufvau3Enee+spak1i+3efcR6WDjn1guOu5ZtW76RLZ8vo48pERxvC+9HkVRUSUWVNKAFtBoMPujl6EgwFmazZh99bzqHNj07EI/FmXn/p/S1dWJT8yOcf0/FvuNYJMbP939JR0tLfMNtxR4G6oulE+fh3nuETuf0ol2/zjV+jObl5fHiiy8iSRLxeBwoHhRfccUV9O7du0b3WZZYJMb0Jz+nv6YjOd69tLrllEp3Xahpezfu5MDbK8kyudikP0C74T1KzPI0a9x3dDqQwaFgPk1u60OHfl2ARIww8+Vv6VLYmFA8wpHuSqmDw+f8bzJd9zRijT+HkW/ckPZxJXVh+V3fEVIixPva6Hpu32KtCge27eXgWyswSgYs13eg46nd2LVrF9988w133313aobK+qBaQfGCBQuw2WzccMMNJQbFbrebM844g5kzZ9K6dWvy8vLIzi6/s3i6aopnvPh1qe/bWmTQb9TpxfqF/VHujv2s/Go+zoNask0ZbOEAna/oX6U0T7VNURT2bdpFzsINBPYVoZE0aPRaJIMWrUGH1qhDa9Sj0YCqgqoqoJL4j0ZT6UFOFVV0qIBtz/1CC1sTtnh2c864q0vNF9oQHdl7iMVvz0QTVjC2ddDujG50PLVbmTdJX6GH3WtyOLRpH8H9HnQ+lUyNnebWxkgaifyQm72aPBy9m9L/0jMb1CQipZHjMj8+/Am6CHS7/cwayfl6oomGI8wY+yX9tYmJIlaFtnH+838ut0/foZ0H2PXaYmw6M7ZbupTZT9JX6GH1E9NpbMzAfbqB08acW25At33FZjZ9tpjMuA2dRodeo0Un6dBLOgxaPb5YkL2OIs7464jjriHhQIj5D31LF1sb9vYMc/YN5WcdmfzQx/TXdmRj0zxG3Fd6n02h7uX8tok2vTqkrTLojw7vPsjKV2alKrAO+PM4ZPXSZmgPeg45hWljP6c/Hdjo3cmAsaNKTKe4dcl6Dn62jk6O1mzx7CaukdGQmFFQQgMqdLC1ZEdgP2e+NKZaXeEakilPfkr3YPNUAoDcwBEO4UbbwoJ9L2SbMghf2Ig+w9Lfb7gs1e4+sXv3bkaPHl1iUPz2229z8OBBnnvuuRorlHDi2/TrWnZ+vZLed5xL6x7t012ceivoDZC7Yz9te3Wsk8waQv00f/wMIt4Qw+66tMI1kDm/bSL25R4KIh76PDOyxIf9eCzOT/d9Rg9rO/b1jVU5j21lefPdrHxyGq0sTSg621hmppTZ//mBbvuzWBnL4ZLXaj+Pq3BiyN9/mBXfLkDdHqCrNTFw1xP24TTZWRnJ4YIXri0zkI+GI8x8/hvs+VpU1ETFESqqRkVFJaKTOfOxS8homlnqNk5EkWCYTQvWcGDlTsgN01zKJNvSiEg8St5ADadfdV66i1iuWg2Kk90mNm7ciM/n49577+WGG0ruh/fee+/x3nvvAXDkyBH27NlTmc8hCIIgVMLib+bSfKWWTYFdnD/u+uOaeCc/8jH9NR1Z69rPqP+r29HveXty2f7yQlwGO+qlTUvM+b1u7m9YZnjYFTzIOa//qd7URgoNS8GBPFZMWEBsuxeplYWRD111Qvf/rUvJFmmtTlutiWzqUq0GxXfddRcrVqxg7ty5hEIhTj/9dKZNm0bnzmU3hYqaYkEQhNo3/aWv6V3UgpXqdi556ffE+7PGTaTHoSasjOZwyevpqYHdu3En+e+sQ5K0HJCPoFWkxAQo6DFpDbiMdtwRH60eOC0tM18JgnDiKSv+rPajUsuWLRkxYgRWq5WsrCzOPvts1q5dW93NCoIgCDXgwkeuZmU0h/6ajsx68zsgMfK+04FGbPTu5MIXKp5Gqqa17tEeyzXtKYp5cSpWDOiIEscjBTgoFbKRvdiv7SQCYkEQ6kS1h0tecskl3HXXXcTjcaLRKMuWLeP++++vibIJgiAINeCC56/ll398Tcd4S35663ua7zByKBZg4JOj0z7ItesZvel6Rt1lTRAEQShNuUHxNddcw7x588jPz6dly5Y8/fTTxGIxAP72t7/RrVs3Ro4cSe/evZEkidtuu42ePSueG1MQBEGoXQaTkVMfv4CcFxbQ/UAT3Hhpckvvk26QkCAIQllOqsk7BEEQTmbblm9k9/iVuM5vW6H8xYIgCCeasuLPEz/btCAIggBA54E9GsRU4IIgCOkgcpIIgiAIgiAIJz0RFAuCIAiCIAgnPREUC4IgCIIgCCc9ERQLgiAIgiAIJz0x0E4QBEEQBKEe+fqd/7Lx1/lp2/8ZF1/GBVfV7dTv9YEIigVBEARBEOoJRVHYPHMyFq2WqCzX+f6NOi0LvxwvgmJBEARBEAQhfRbMmIbDaMDasz9/G/t0ne//xXvuIPPwPnI2bqBTj5NrMjbRp1gQBEEQBKGe+HXqJBRVZfT1N6Vl/8OuTNQQT/t8fFr2n04iKBYEQRAEQagnwrn7KIwptGzbLi37P/WssykKRzm8ZUNa9p9OIigWBEEQBEGoB1Yt/pUMk4HsLt3TWg5LyzY00mvZtW1rWstR10RQLAiCIAiCUA/MmfA1ABdcc31ayzHkij8haTT8+Nn4tJajromgWBAEQRAEoR5w78qhIByja5++aS3Haeeehzsc5eCGNWktR10TQbEgCIIgCEKa5WzcQKZRj7Nth3QXBUmSMDZrSYZOw76dO9JdnDojgmJBEARBEIQ0m/7lpwCcd8VVaS5JwtmXXIFWkpj66cfpLkqdEUGxIAiCIAhCmh3atB53OMqAs89Nd1EAOHPEBXjCUfatX53uotQZERQLgiAIgiCkUe6+vWToNBiatkh3UVIkSUKX3YwMSeXQ/v3pLk6dEEGxIAiCIAhCGk39bDxaSeKMCy9Od1GKGTz6UrSSxORPPkx3UeqECIoFQRAEQRDSaPfq3/BFopw76qJ0F6WYIRddgi8SZffq39JdlDqhS3cBhIZJURQi4RDBQICgz0coGKR56zbYHI50F00QBEEQGgx3YQF2NU7YmYlWV7/CMkmSoFE2Lm8h+YcPkdWkabqLVKvq17cv1LhQMMDhAweIRiJ07N4jcYBXwbrly5j++cf49+zEpteilSQkjabYMv5IlNEPjaX/4LNqouiCIACxWJQlc2Zjsdk59ayzK7TOkp/nsGjaFLr2H8jQSy/DbLHWcikFoWxBv59Px73K3t+WoEHF0bYjo264mZ79B6S7aGk39fNPMGi1dB82It1FKdGgCy5i48TPmPzJR9z68GPpLk6t0qiqqqZjx6eeeiorVqxIx64bhEQQOp5oKIgzuwlNWrWhdafOdO7ZK/WkdvjgATau+I1dWzeTt2c3/oIjKOEgkqKg14BRq8Wg06a26QlH0TZuyoDhIxl++Rj0ekOZZdids41JH71H3ub1ZBr1AORH45gzs9EaDGh1enR6PXqjEY1Gwr1pDaqqctHDT3LKGWfW3pcjCA2cHI+jkaQSH1JDwQALZ0xnza/zKdq7C5sqY9In6i/yYwoDLxnDJdffVOK6C2fNYMYH/yNTUlKvReJxfBodTTt346zRl9B30BlVfjgWhMrav3sXn7/+EtF9u7Aa9BSFoygaiUxj4pguiMRo3KUnl9x8G+27dktzadPj8WsuxxQO8MjXUzAYjekuznHkeJznxlxIRG/k+QlT012caisr/hRBcT2Su28vE959m0Mb1pBp1KGoKoqiotMWv4GFYnFUVcVi0Bd73ReJEkFCo9cjGYzoTWaMVisWuxNZjpOXswWXJrG9YDRGxGyj08DTkSSJorw8/O5Cwj4v8VAQohEyDDokjYbCcBRXhy5cdOOtZc6ys+TnOcx+6xVUVeXiR/5Jv9PPKHXZoN/PvGlTOO28YWQ2zq7W93Yyyt23l4UzpnHO6Itp0rz+jFaubzxFRcz89isi4RBmqw2r3Y7V7sDmdGJ3uqrVelJVC2fN4Of/vYHNaCAmy8QVBVlRkVVQAKtei0GbeJgtCkeRHBm07tmbgtyDhHdvx2bUUxiO0n7wuVx79/2YzGZ++XEyP41/nywthGNxaNqSS2+7gzWLF7J1+VLwFOI0JR6CvZEoqj2DLqedzogrrz7hm0OFmnf44AG2rl3Dnpyt5B84gKSV0BtNGC0WTBYLZosVrU7Hyp9mYAl50Wu15MdVBoy+jEtvvAVJkti0ZhU/fvIRnp3baGQyoKgq7kgMVSOhShJIEhqtFo2kw2C10vec87jgqmvKDRoVRWHn1i206dix3Iqf+iAcCvHqtZcRNll57svv0l2cUj114zWYA27++s5nZGRlpbs41SKC4nrMXVjA5E8/Zuui+TiR0UkSReEojvadueSW2+nYrQd7tuewY/NG9u/cQf7BA/jzj6AoMs7spjRr154OPXrR45T+2J2ucveXf/gQP37xKTnLl2CJhlI1UEnBaIyIoiJLWqxNmjHsT9cyaMjQCn+eJT/PYc5bryCrKpc++jR9Tzu92PtyPM74N15h76JfcBgNxGUFt6qhVe9TuOj6m2jVvuSZfPIPH2LL2jV063fKSRtE52zcwPQvP+XQpvVk6DRoJQlPOMqwv93L2ReMSnfx6g2/18vkTz9i48J52OIRjMe0lvxRQSTOX175N207da7SvhRFYdv6dRw+sJ+zRl5YboC9eO5s5v7nVWRVRd+8NXI0ihyPo8RjKPE4qhzHYHPQoV9/zh51MW06dCy2ftDvZ/xrL5G7ahkukwFvJEpU0pGllwjFYmhbtOOWR8eW+KC0bvky5k35gdwtG7GrMYw6HbKiUBRXcLVuz2nnX0Cnnr2xWK1Y7fZ6WWMlpMfsHybyy1efoYmEMGslzPqK9byMyTIBk53Rt9/BaecMKXW5ZfN/Yc7Xn+PPOwyKjEZV0KgqEiBpwKzTotdqCUZjRK0Oep0zlIuuvR6zxYqiKGxctYJfp//I/s0b0If82I2GxL3MYqf74LO56NobKnR/TIfvP/6AXTMn0fTs4Vx7573pLk6ppn7xKdumfEvWoHO48f6H0l2cahFBcQ1RFIU1Sxez/Oc5HNiyiXjQj0avR2c8WiPrcGHLyCCjcTbtu3WnW99+Jfbl27dzBz9+/gl7163CiYxeq8UfiUFmNkPGXM2ZIy6ok9qrcCjEop9mYrJYaN6mLc1atcZkNld7u8fe+C9/7Fl6DzwNgGlff8Girz8l82hNV5tBZ5GbsxWlMA+HMVFTUBiTadSuE/FoFH/BEdRQAJMGrEdrxcOxOHKjbP507wN06dWn2mVN8nncvPXYQ4T370HjyuTSv91dZk13ZeTu28vPk78nZ+VvxAqPYJQ0hFUNksWKvXETmrZrT4fuPWnbuQuewkIKj+ThKSjA6y7E73ZTeCgX796dqS4s7nAUQ9MWtOzclT0L52LSaXH0OpW/P/VsqWVYuWgh3//nDZRwCL3DSVbLNrTv0Yu+ZwymZdt2NfI5q0JRFFRFqdbgkmgkwtb1a1m3bAmbfp2PNRrEqNMRjMaI2Vz0GzaC7OYtCHi9BPw+gn4f4UCAwkO5xPduJxKXGfKXezjnwtHl7uvQ/v0s+mkGOWtW4jm4H7McSx2bhRo9/3jr3VIf2pbN/4VZ415EVVUuKeGBsTLkeJwJH7zL2llTMaoK5raduPXRsRWu9Q0FA8yd9AOr588lfOgAjUzH16jJikJcUZEVhZDOwGV3P1BvJhUQ6saeHdt5/8n/IyMeJhCNEZJ06G12HFnZZLduQ5tOXejQvQcAfo+HgN9HwOsl6PcTCgY49axzSq3oqAx3YQFTPhvP1iULscbCGHU6wrE4fo0OgxzFYUwcv4FojLDBRGbrdhTu25Oq+InGZXySnranDOCqv/4dV6PMCu13yuefsGn5EoZc8acyg/rqePKGqzEHPNz10Vf1NnCHxNiGF666iIgC3YaNZPS1N1T4e6xvRFBcRft27mDFwvlsW70S9/49WORYqstCKBYnqKhoVRWDpMGk1x038ExRVfzRGFGNFp3NjsnuwH9wP40MWiSNBm8kiiajMacMPZ+RV159QtXMLJo9i5/ffh1ZVel50RhWzphCljbRxaPZgMHc8vCjqaYtRVFYNHsWCyd/T+DAntQN2heJEjn63Tmym9KoaTN2rFiGS4kC4NEaGHbdzQwZfUm1yvrNu2+zcfoknCYDBZE4Tp2EJGkoVDSccdlVjLrmulIfUhRFofBIHvmHDpF/+BDu/Hw8RQX4ioo4vHM70YI8XEY9kkZDTJbxyKC1WJGDAUyqjM1Ysea9gnAMR5v2DB3zp2KByb6dO3j7wbvJ0ksU6Uw88vYHxS6sm9as4stXnscZCxGTFfyygk2rwXhMEBqIxgirGtDr0RrNGKxWLA4n9oxGZDZtRrdT+tOlZ+8aGxWtKAoLZ05n/g8TkI/kph6IZEU5+q+KCsQVlTgaVK020R3IbMFos6PT6/HlHyHm96KX49gMOrRH/z6hWJyw2Ua/oSMYdc115T7kLZgxjZ/ffROjTkvT08/l5gceKbG807/+kkUTvyRL//tx4A5HUSx2stt3wF9UiCE/F18kxnl/ufu4tEorFy1k2qvPoapw0cNj612f+90525g76Tt8hQXEolHkWJR4NIYcjxEPhzEFvRh0WrwGCzc+/jQdu3WvtbKsWbaEBVMmkbt1IxY5Rkhv5JanX6zVfQrFxWJR3v7nE/g2r8OglQi7GnPn86/Ui1Y6v9fLtK8+Z/2Cn9H4vchGE006dWXQ+Rcw4Kxzil2rQ8EA07/+krXz5qL1FmIzGnCHo4y86wEGDy99UJuiKLzx8P0oe7en7usF4RiNu/VkzF/+XmKgfyQ3l1WLFrJvRw7N27aj14DTSlwuGonw85RJrPxlNoGD+8gw6ChCy/PfTqmBb6d2vf3PJyhY+xsWgz5xP0NLmz79GX39TWmtXKksERQfpSgKMyd8XeJ7qqpycPcucnfkECo4gkmRsRl/77PrDkdRbQ6ad+pK/yFDOXXwWcWChFgsSt7BXA4f2MehfXvZtz2H/AP7CBYWoIaDmDVgMSRqSK0t23DWxZczePiIE3rAy68/zeSX/72BxaAnEo+jbdWBvz/9r3KfhnfnbCMzO7vU5TatWcWE/4xDV5iHSa8jPxLH0qQZ0WAAORxGjUfRKgoGSYOsqig2Jx1PPY0RY66macuWqe1sWPkbX7zwNFnaRN/NgVdey8XX3ciubVv5ctwrKLn7Un+zlv0HYTCbyT+wH3/BEeIBPzo5jlWfaNYrSTIIdrRsQ58zz+bcURdjsdmKLVOUn8+Glb+xc9MGCg8fwmy1YXO5sLsycDbKxJWVRdMWrYqV+7j9xKK8fM8dmAoPUxiOcvXY57Da7HzywjNYgh5UVSXsyOTmx/9Jmw4dURSFnI3rWbdsKXu3bKIo9wByMIBWkdFrNJiPZhc5VjQu44/LYLZiz25C8w6daNe1O11796Vxs2Zl/j2Tls3/hTnffEH4wF5cJkOi6V7RYG/aHEVWUOQ4qiyjKInflXgcJRpBI8fRqSpGrZTq7hOOxQnIKphMmF2NyGzekjZdunLexZdWOtPCnh3befeBu8g06ghlNOHR/7yLVqdDURQmvP8Oa2dMIdOoIxCNoWvWmu6DzmDw8JHHfe7p33zJ8q/GY9brMLTvxr0vvIIkSaxZtoTJLzyFRqPhgvsfbZC1rft37+KDZ8Zi9hUmHlyymvHXp/513HcQCgbYk5NDLBalxymnVuj6dmj/fuZOmnhc32dPOErcZMEhR5AVFVfv/vztiadrNGVVwZE85k2dTI/+A+jcq3ep5Q36/Uz5/BM2LPwFQ9CXqEE3W8lq057uA07jjOHn1+tavj/K3beXBdN/xGp34MjIwJWZRaPsbDKzs1kwfRoLPvuARiYD+VGZy+9/pEEes38kx+P88MlHbJw6EaNOi6vPQP429unjlvN7vbz4t5vJkCMUqBLXPPwEsyd8TcGWDTRKXrdUiaZduuM5fIhQUQFGOYa9hAqOYDRGSNWgtdmxZTbGk7sfazyKSZ8YM1QUjWNv2ZbrH/y/BhNURiMRZk74mpVzZqFx52M/WqlRFJUxZjamdfeeDBwyjG59+9Xb+EYExUfJ8Tjjrr20zGXisoI3FkdjtdOoZWva9+zNgHPOo0WbNtXef9DvPy4oOtEt+XkO836YyHX3P1QjzWjHyj98iE9ffxnP1g1Y9TrCcZno0f7QGp0ercmEHA5jlYtfhGwt24CiIuXtR1FB37YTdz37wnHBlM/j5rM3XuXg6uVkHNO8nLjQAQYTJocTi9OFxeHE5nIlAtnMLDKbNKF9l251+vf+5t23yZk1GQ0aJEmDVqPBZ7Jx/SNj6dyzV4W3oygKBYcPk7tvL/t2bmfX5o3k79tLxF2IQYmnmiqTQrEYQRkwGjE6XKiKQjwcQo5GQY4jKTJ6DamLZ2FMoVWf/lxy8+2VPq9CwQB+j5fMJk1q9IIbCgZ4/i834YqFyJeh48Az2LloHo2O9tvN7NGPmx9+tNzA58CePfzngTvJ0kK+DOffdDvzP/gvWo2GYXc/xOnnDauxMqfDhpW/8dUrz9NIjaUG68qRMFI8hlHSpLqSwNEWCJ2BzDbt6T34LM4ccQFmi5UjubnMmTSRbSuWE80/nGpJicRlfBotTbt05+zRl9LntEFIksTqJYv59uVnyTJoyY/KXPnQ49Wuac/ZuIGv33wVTf6hVP9YfyRR3oyWrel66kD6nD6Y+T9OPq7JPmgwocoKhlg4FQjJioInGseY3YwLrr+5zoPIPTu206xlqwq1Nu7fvYt37/0rrhK6zCT5IlHanTOc6+99oN4GNlW1O2cb7z58L1kGLUVaIw/99wOcGRkA7Nq2lfcfvodMo55I4+Y8Mu7tYg9hi+fOZs7Xn6MeyU0NlPXFZLDYcDZpRuuu3WnbpSv7dmxnX85Wig7uJ+73YkbFatDji0SRS6mkaYiSrX6/Tv2BQO5+HDopVUmU6G6jx5LVGCBR4SHLKIqMKiuoiszIm27nzPNH1nm5RVB8lKIoTPn8k1Lfb9qqNX0HnVEj/WqFulNev9SSmqskjYYCtNw09rlyA0ZFUZj34xQsdjtdevWp1yNvN6z8jS+eexLJZOZP9z+S6s9dk4ry81m3fCl7crZyeO8efEfyiAV86OIxrHotsqISVRTiKiiSFrQ6tAYDWW3accnNt9Ouc5caL1NNUBSFfz/+MNHtm9BKEu5wlJYDB3PjPx6u1DVBURTefPQhojs3o5MSmV6G3HF/Wi7+tWX+9B+Z+cHbmJQ4EVWDqtejN1sxO104sxqjqAqHcrYiBXypmt+YLOOPyTj/0J3I0aI1vc88u8xafkVReOfZpyhc+xs6SYOmRTtG/Pl69m3PIXfvHooO5RIoKiAWCIAG7E2a0bZHLwaccx4dunVPBXaLZs9i+kfv4YiHkDQaitDRZ+gIDu3dTd7O7UhB/3HBYnJwV+9zhzH6z9cVK+P2zZtY9vNsdq1fR+DwwdQA2IJIjJZ9B3DVHXfVWnaPrevXMu2z8eRv20SmUU9+VObh98vODODzuHnhxqtx6DQ0G3werqzG+D1u/B4PoaN97Q1mMzc/9Fi9vs5VVywW5eV7/44hPxd3JMYVjzyJz+3ml/f+jVGrpcXZw7jh3gfKXD9n4wY6dutR4W6PBUfyyMjMOuEeMo4VDoVY9stc1i1ZxOGdOeD34jTqUVU10WqrqImsWiqoqPS57Gouu/GWOi+nCIoF4RgH9uwhd++eCk+EIJxcZk38lvzDuVz1lzuqldJp3rSp/PTJ+4y8+a8ndXaQXdu2snDGj+xcu5qIpwh7k+b0GnwWQy66tNIzYO7atpX3n3iYTI183HvBaIywoqKBVOANpAaIoShkGbRE4jIRewZj7rqPXqcOPG47ufv28uusGezevJEu/fpXarzH7pxtfPfufynK2UyGyZDodmSw0Pm008lq2oxG2U1o0rwFTVu2qnQrkt/rZeeWzcyZ+HUqEAYoDEfRuTKxBj24YzL3vv1RidlH5HicsX++nAxkss8Ywo33PVip/Z+IJnzwLlumfY9W0qDRaAjHZYbdcT9njbgg3UUTapEIigVBEIQTxqRPP+bQnt00ad2G1h070bF7z1QTOCSyFSz7eS6bVy4nf88u1IAPLWBt14kbHniEZq1a12r5FEXh5ymTWPDdNxgDnuNSXwJE4jJRWU7lp1Y1GlSNBFotGo0GNf5716M/TsRUGI7iaNuR86++LpUl57N/v87BhXPwRuPc8ea7x/VRffrW67H5i6B1Rx54ZVxtfvwGZev6tYx/8v8A+Nurbx2XBlE48YigWBAEQRDSwOdxs3rxIgryDuMpyMdbWEjQ6yHi9xELh1BkGVWOg6KgUZREjl5A0UioOh3aZOYVqw1bRgaDR44uNV3kt++/w85Zk/HHZG556c3UDHFv/N8DKLu24jU7eOqjz0/oJnxBKE9Z8WfNDeMVBEEQBKEYu9NVZ91nrrr9b0y1WFj//VeMf+Rern76RVb/uoD4zi0UqRJPvz9eBMSCUAYRFAuCIAjCCeKia2/AZLGw/LMP+Paf/4dJp8UbV3jk468bxLTHgpBO4pFREARBEE4gwy8bw1m3341WoyEYk/nra/8t1udaEISSiZpiQRAEQTjBnH3BKDp074nRZKy1tHCCcKIRQbEgCIIgnIBqYtIpQTiZiO4TgiAIgiAIwklPBMWCIAiCIAjCSU8ExYIgCIIgCMJJTwTFgiAIgiAIwklPBMWCIAiCIAjCSU8ExYIgCIIgCMJJTwTFgiAIgiAIwklPBMWCIAiCIAjCSU8ExYIgCIIgCMJJTwTFgiAIgiAIwklPBMWCIAiCIAjCSU8ExYIgCIIgCMJJTwTFgiAIgiAIwklPBMWCIAiCIAjCSU8ExYJQRUUFHp664UPeHPtZuosiCIIgCEI1iaBYEKpAURTGPfgt2ZZ2SIebMu2bX9JdJEEQBEEQqkEExYJQBf9+8guyjR0IWPfgCR9h/YxC9u3OTXexBEEQBEGoIhEUC0IlTfvmF6S8puRFdvDgKzcy5MYumPRWPnhqGnJcTnfxhAbM6/YRi8XTXQxBEISTkgiKBaEScjbtYuMMN57QEe59+UokSWLw0P7oWxWSbW7PW//8Mt1FFBqojau38fa9s3ju1k8JBcPpLs4JJS83n+kT5rFnx4F0F6Ve++aD6Tx10/vMm7Es3UWpFxb8tJwPXpmQln1/8fYUPn1rUrW3EwqG+eb9aQQDoeoX6iSgUVVVTceOTz31VFasWJGOXQsnmM3rtqPVSnTu0b5a21EUhW0bd9Ghaxv0et1x7wcDIV7+2zc4DI0559bW9D+jV7F1n771QzL1beh5iZ3zRp1erbKcSCLhCJ/+ewqderXm3AtOS3dx6qV9u3P55Ml5WPQOjHoz+fJ2xr57G5J0ctdbeN0+bA5rlb8Hn8fPBy99TzzXicVoB8AfdhNUijA6VZq2y6BTr9ZkZDqw2MzYHTZsDgtGk+Gk++4/fWsS7vVWNAAaDUXqTm5+7CJatW2W7qKlxcrF6/nlg12YDTaUprnc/c9r62S/sVicV/4xHmcscT/zmXfx8Gs3V+l43J2zn/HPzKaxtQ15oZ088va1WKzmmi4ykHjwNJmNWG0WtDptmcsqikIkHEWn15V4r61tZcWfIiiuYZFwhB1b9tK9b6dqbScWizPxo5nYnRZGX31eDZWu/tq8bjs/T1pO3o4gdm0TzG193Pnkn8tdb8WidfzywS70WgNyVh53/fNqjCZjpfdfeMTNm49MINvQAV+oENnuZvCoXpw9YkDqYvTM394nkw64evu59u8XH7eNwweP8OGjv6CqKn95eTiNmzaqdDlOJIqiMPHjmWyb7ybD0pS4HMPSycPtD1+V7qLVK0UFHv593yScxmy6jbKxZmEOtmBbYlkHuO+569NdvP9n76zDo7i+BvzOZLNx9+ASheDuWtwLlJYKpUDdgFL30lKnQmkppYUWiru7u0MgCTFCiHuy2azMfH9sEwjZTTaG/L59nydPy9w7957ZnZ0599wjlSY1KZ3Thy8z6OGe1Rrn2L6zHFp8A61jKm/9MLlS52qKtCz6bg2ZV0Sc7TxILYwhpKsfqTeyyEpSgdoWV1sfFFbWRs/XS3o0ukIKxGR6j2tFj4c6VOta7ncWfbea/CvOpBfe4PG3e7Ni3i4ci+qj0amxqZ/HtLfGobQx/ln9L5IQl8Ti9w+gEJWopEw8bevj01HLuMmDyz0vKyOHNX/upFnbJnTo0bLSimx6ahY/zlyNt11jMoVoZL2Mh9iUNN01Zv3wBHb2tmaPtWfzUY6vSMTW2p48RSIeNKkVxVhVUMicF//G26ZJyTGdXotOr0En6ZBkHaJghShYYSUqsBIVJb877w5FjH16UI3JYi4WpbiWyUzLZvPy/USfTcFR9sNO6YBTaC5PvDyy0mNJksSav3YQvicND4c6AKQWxjD0mQ60796ihiW/d0iSxI51hzi7Lwpdlg3uDv4AZKtS0clFeDrUwz4oi0mvjTE5RnREPMtnH8dKUKAiA2/bJmQU3KTL2Eb0G97VbFlOHb7A1vmXcLXzIlcZjyZfxt26Pgora7JUKSi9CrG2UaDMrEuuMrbcF/TO9Ye4srmQDG0cHyyc/P/O2lTM4d2n2fHXObztG5GlSqF+OzuiT2Xgbd+IbKsYZn77ZI2+ZM+dCGftT8dw9BEY/UwfmgQ1qLGxq8qWlfs4uSOS4I51Gfv0QKP3QpG6iNnTluBp0wDv9hrGTxmCXqfn4yl/4KlshE8HTYUv4vsJSZL4aNIfeNs1psAhjhlfPVWl30BCXBJL3j+Ai70XeklP58d9zHr+SZLEv79tJvpwHu4OvqQVXKfD8IYMHturTN8idRHnjl8h6lI8apUGTZEObZEOrUaPTiNRlK/DSaqDjbUdaQXxNO3kzrhnBv/PKYcLvlyJOtqN9MLrvPb9w7i6OwOG5+LGX0/ibd+IjIKbtBniz+BxvWrtmZafp+L04UsorK2wsbXGWmmNja0SW1sbPLxdcXJxrJV57yQvJ59vXlyFq40PYSNdaNulOXNfWYeT0oP2j3jTvX97o+dduXCNlV8dLXlvZxYkYeOjoe/odqV2FU1x+Wwka749gYudD1Z103jh/UeRJIlv31yMXW59UlWxvPT1aDy93Soca8GXKymIckJVlEOPJ5rQrV87fvlsGVKCj1mK8Zmjl/Dy86hwlyA3O49vXlmOt11jshUx2Dsr0Wn16LQSklZGr5eRJRlBFBBFEK2E//5ErBQCfcd0oFWH0Aqvp6axKMVVRFVQyMEdp0hJyPjvSzV8mcX/TU/KJjmyAHdlPRRW1hQU5VKoSEVW2+Cs9KTbk3Xp0KOl2fPt3nSEAyuu4m3fkGxVKnXaKMnJKECb6IpSYUuOGMdTbw594LezJEni85f/wFXXGL2kI0OdgHsDJd0GtaJ1p2aoCtR89cK/eNjWw6eDlvHPlFUK0lOzmDd9E45Kd9qN96LHQx1YvmAzMYdUONq6kS3G8txHD1f4AFn84zrSz1mj1WtoNtClxCqfcjONdYv3cDM8H0+7BoiCSKoqlncWPFHhS/Hbt/7CJqseeu+bvPzxxKp/UBgsOMnnJOp3suWx54ZVa6y7QUzkdZZ8vQ13oTFqTQG2DfKZ+ubD2NjaoCnS8uXrf+Kmb0KqKpZnZw/Dr653mTFOHrzArlUn0Wkk3vjuiQot/3k5+Xz34lqcbTyxVtigl/RkaONo068RQ8f3rnArr6a5eOoqq346iLdtE/SSDitRQaoqjj6PNqfnwFsWR0mS+GTq73gqmmJVP5Vn336kpC03O4/vXlqLk9KDLo/706lXa7PmTrmZxtYVB4m7mI6gseHRt3oQENqoxq/RFMt/30L6KVsyCm7i4eBPphDN2z8+XanvoFCl5otpS3Gz9aduF4g7qCVPl8oHf5a/hSxJEp9M+x1Pq6ZkFiTTpKsTj0wdUi0lLjUpnWXztlIQr8TF3oucwnTs6qiZ+PLQu7ITVKQuIvJSLNFXE0iKTyc/W83gR7vSrHVghedmZeTww1vLkYpE6jZzZvjE3vj4e5XqM3/2v+ive5OqimX6D+NwdnUq1S5JEst+3Uz8sUJc7DzJLcxAY5NFo+be9B3RiToNfGvkOmMir/P3Jwfw+M84cidqrYqmfWwZ8Vi/GpnPFHqdno+n/oG3svSOYEzkdZZ/dhwBgTGz2pb5TW1bc4ALGzIQRQU+bSRyMwtIvabG064+oiCSUZCIg7+ewFb1CW7ZiCbBDUrdl9tW7+fCpiwEBIL6OzL80b6lxl/w5UoKr7mQXZjCo293p2lIQ6PyF6mL+Gr64pJn7NRPhpT6juZ9ugz5hmnFeM/mo+xfcRlvu8YUagpwCVYzecYYo7+h9NQsfpy+Fk+7etg0yWLqrAdnB9CiFJtJWnImB7adJOr8DQrTRdxs/bC2UpZ7TrYqFZzzadMrgL7DuqC0sSY6Ip5Vn59GKxXx7NcDK1TMzhy9xPrfjuJt04R8dQ4OjVRMnjmmZKskMT6ZRXM24qxriFanRvTNYto7Y2vNN6g8dqw7hIOTHV37tq3S+ZIkMfulhbjpm5ApRJtUXDPTsvnx9fW42HgTOMCulKWnUKXmi2f/wcO2HvW6C4x6vH+p8+Z9uBIXXSPy1dm4BekIbt2Ilh2CcfNwKel3+8MjreA6E9/uZfJBEx0Rz571Jxg+sVeZl4ox9Do9Hz/zB962TUjXX+PlL8aXmttcvn93CdbpddDo1FiJ1jiH5vHUq6MrPU5tkp2Zy/6tJ7hy6jrqdAE3W8NLLd8mgWfeHmH08/ptzgoKr7mQV5TJwGnNaNe1BYnxyaxZtJvMaD2eDnXRS3qsRCvSpWu8N79839qPpy3AQ2iCbyctTZvVZ/OSwyjyPHGwcSZLlYJjfR1PzxhZ5oVvisO7T3PhWCT1mvgQ2qYpDZvWNUuxSk1K5/fZ63BQ10Mv6ZA80nhqxgiWz99KQaw9DjbOpOmu8cgrfQkOa8LnryzEuagRKqd4Zn41qcx4167EsWrOaSRZz8QPulG/cVmFQZIkzh0P58CmM2Ql6PCwrYeVaEWBOgelwpYs3Q0++nOKWdddXfLzVMx9YSOSrGPGr2P4/s1/cNY0Ik1zjVk/mbf1K0kSnz63EA+hCQ7B2Tz16mh++OBvrFL88WhTyCNTh5g8d8GXK9DEeJJrE8v0LytevFaGYne2q4dT8bZvSJ46C/+2Vkx8YXiNWk7zcvJZNn8LiZfzsMERJ1t3RLH0gkJVlEfTPvalnnt3EhUey9LPD+Fu50teURYudp7o9FoyNQk0aOnG8Il9WD5/K9z0JbUwhpk/PYqjk73J8XKz81g6bzNJUXk4CT4GP1tZIlOViI2njkGPdqFl+5AqXfPFU1fZ8MN57KwdcWiaj6OrPXqtHq1Wh14nodPqSY/Q42zrSZ3Ocq1ut3/x6kKc1I3QuN/gtdlPlGo7tu8sh5ckUqDJ4sVvh+Hu5QrAr18sRx3tSl5RJoOfC6NN5+Yl50RHxLNl6UEyYrR4OdzavSrSFpKnyUS2VqOwBSdtffKKMhj6YiuTltO1S3YSu09DkU5Fq2HeODjbkZ+jIj9XhSq/CHVBEUlXVQajmiKGmd8Y340rUYzV0cz6eSL2Dnbs23qcvf9exNuuMaqiPPDMpCCZEl/kibP6lloIJN1I5be3tuJm54drc1WVdsXvJdVSip9++mk2bdqEt7c3ly5dMtnv5MmTdO7cmX///ZeHH364WkLVFnqdni8nrzHZ7mjjiihaoZd0ZBYmoXTV0qi5L01D6yPLMnqdHp1ej6SX0ev1uLo70apjqNGH4tZV+4naoSFDE8cHf5jeRv/18+WoY1zRSzp0bqk8M2tUyY/tTk4fuciGX4/jbdcYtVZFniYNK0cdXvWcCGhRn7ZdmuPs6kjctRtcOhVFfEQSWcmFSCoFVtjgFSIy5Y2xVbKcpSVn8sv7q/AQmxr87VwTefmTxyr14rldIc6yiubtH8t3L0iMT+aPd/dgr3Sm/XhvejzUAb1OzyfTFuJl3RSbJhk8M3Os0XN3bzrC4eXRJVtZALmFGajlXKwdJXR5CrwcGpBlFc30rx6vlK+WOWiKtHz/9hLs8uuTU5hGrycC6NavnVnn6nV6vnh1Ea66xqQWRTPt4+H8+s5mPO3qY9M4s8orcr1OT2FhUbkvv4pQFRSyZ+NRLh2PRZ0u4m5XBytRgV7Sk1mYiI27nsETK35B7lh3iLPrUlFYKcnVJeNhUx8rUUF6wQ3cGouMfLIPy37ahqOqIYUu15kx5ymj4/z5/RoKrrqSaxvLW9/fcmvJz1OxYsFWrp/NNTzYVbHM+uXRCheS+7Ye5+zqDJSKW/eDWlNAnjYTwaYIOxdrlLZWKO2ssbGzxs7BBjsHW25Ep1IY74Cd0pFMKYaJMwaUcuFIS87k9y/WYldQB2SZLN0Ng7sP0bw7z/TvYN/W45xbnUl2UTJvzH+EjLRsTuy7QMzlm+Sn6bDDHSdbw6Iyo+AmSs8i2vUOpvfgTsx9729ssupVqEzWFF/NXIR9XgPq9ZBLLF3fvb0YZWZdUgtjeO27cSVb86b46aN/EJL8yLON5c3/vs8idRFfTlmFKFjxys/Djd6/p49c5MAfCWRrknl34RO1GryzZ/NRDv4bhaeD4brGvtKd5m2CjPaVJIlThy6SlpRJ+x5hePt5Gu0XeTmG1Qv2YpXjgYONM5kFyeiV+di5KHD3daJuY2+ahtanIL+QDT+ewc3OB63HTV797PEy987+bSc4+m8C1lY2NOphzcjH+xuObb2EkOuCs50HWr0Gayslqepo3pxXueefpkjLwZ0nObM/goJkcLeriwBk6GIZMLEdnfu0MXusw7tPc2hJPIIg0u5hH5MByjcTUljw9nZcbX3wbF1kNKbjdiRJqvRi5bc5K9DGepIhR/PuL8Z/k2sW7+DGIYGMonhmzXuMb9/4u8Qq+/wXw8s1msRF3eDiqUgSrqWQlVyAJh+UsiPOth6kF8XzwhcjTd4fxRzadYpDf8eX/ObvRKNT4xJayNOvm3Y7BJj3yTLkRIPFGChRhkWfbCZNH4G7lyt6nZ55nyxDl+iOJOlxDFQx5Y2xJMQm8deHe3G29cS/k/RAuXcVUy2l+MCBAzg6OvLEE0+YVIr1ej39+/fH1taWp59++r5Wij99bqHJdjsXa0LaNqD7gHYVPrzNYe57S1Ck1aHILYHXP3+yVFt+nopvp/+Nh9iUVFUsT38wkAZN6pgYqTQblu7m/MEY9PkKnKw9sVU6ACDJEhptYcm/wWBVyNdlIiDi5VCPtILr9HuyudkKGsCqRduI2pePo40LebbxaAokvKybklYQz8OvdTH5Qrid2xXibKsY3vrxabMeWlHhsayccxKFYE2/aQFs//c4zkWNULtcZ7oJRakYrVbH2aOXibp8neS4DPIyNAhFNjgpPZGR8Wyh5clXRpn7MVSJzcv3cnFLBnZKJ0T/NF744NFyr7tQpWbOS4vxsm5KlhjNrLmTsLZWlPLdwj/ZrCDE29m14TDHVl3Hzd6HQk0+hdo8dIIaQalHaS/i6GqLq5cj3nXcqdfIlwZN6+LoZI8kSZw4cJ7juy+Reb0IV2t/lArbW0qwh56gNvXoNaiDycWcKSIvx7D0i/3Yik5Iztn0GdO2lJuAJEl8PPV3vBRNjfqXnz5ykf0Lr5OjSeWd3yeaXKAt+HIlmhgP0jTXeO+3ySYXhZfPRrJp7mX0kobeTwWQlpxFwrUUMpMK0BWI2AouONuZ3jJPVcXR7/Ewkz6HAFcvRvPv3N14KZqSqo7m3QWTKlTgFv+4jrzLzqiK8koyKEiyRLYqFb1NPl71Hek9vH2Z4N4idRFzpqzEWrRh2tf9y/1+biak8Ou7G1FI9oCE4aUgIyMDMk51MaqAFXPlwjW2/RBJtj6RjxaVtkz/NmcFRdFuZBQmMnX2IPzr+RgdY/0/u4jfL5OhieP930u7XKz7eyeJh6xQuyYw/Qsjz9LnV2OrcGLMm63vij+5pkjL/NnL0d1wQxREJM9UXvgvyLdIXcTOdYc5fzAG8hxxtb/lIpSlSkGnyMfVz4amYXUBOLk9Gg/rhghAujaODgObMmhsT5OfdXZmLt/NWI63sgmpRdG8+vW4kp2of37ZSOppKwq1+fR9OpCOPVuVOlev07Nr4xFO7rwKAsz8pmL3pIqIi7rBsh+3oyzwwdbantTCGLqMDGLAqO7lnrdtzQEubcpBq1fTf2oQ7bqW7zOelpzJzzPX425XF6eQXKPxJlHhsayYtxvbQl9EQaRIq0IrqdGjRRb1CNYSVgoBK2sBK2sRhdIKa6UVOq0eRYYfGeoE3v5tYrmfSbHLSV5hJk527tWOkdBqdZVaxMVF3WDf5hPY2ttg72iLo4s9zq4OuLg54VvHy2zf658/Xgo3fQ3KsHcWT04fYXTX9uKpq6z64Qje9g1JVcVijT321s407Wtbxs3jQaHa7hNxcXEMHTrUpFL8/fffY21tzcmTJxk6dOh9qxTfbSRJ4uNnFuKhaEiDXmLJDXT1YjTLvzyEp0M98uximf7lk1W2bEiSxJXz17hwIpKEqDSKCnS4+tjTMMiPFh2CqNfID1EUkSSJRd+uIeOSFXZKR3Ks43j2g/J9bpNupPLbh+vwVDQls+Am3SY0pffgToDBQpd+wRpREHEKUpn0OyqWcfaLC3GTmpCtiOGtH8xTiIs5e/wyO36JxEo0yJ5JNO+UY12rCEkybMndrYCZxPhkfnt/E952jUlVRzP1o2FGffEy07KZO3013vaNULsm8Nrs0kqIqqCQOS/8jbdtE3ReibzyScWZCQpVan54dyn2+fXIK8pC4VVAUYEOnRoEnTVK0R4HpYvRKHxVUR4yMg42hgVilioZHAsIaO1P3xFdzAr4qC6qgkLmPLcMd5s6BDxkU+JGk5udx/cvrcfWyoHRs1qbdH0pptjP29SC7GZCCn+8sxsbKwf6TGlsMjBGq9WRl51PdlYueTkF5OUUUJBXiNLGmp4DO5h9T0ZejqFRYH2zf/e/zVnBzYhsXHxtCWxZj469W5n1+e9cf4jIrRqyFTG889MzRvvkZufx7UurcbX1JUuXYDhY/FaQBQRJgZdDfbLEaN76wbh/8AeTFuBqVYdBrwQRHNakTPuyXzeRckpBflEWVq4qvOu7ENCiPq07huLk4si5E+Hsmn8NlTaXF78dalSB/+CpBbhY+TN8RrNS3/enzy/ATWpyTyLZo8Jj+furXXjbNCGz4CZ6pQpH2Rc7pSNavYYszQ38ghzxruNG7JVkclM02EguuNjdsgiqivLQOaUz8pmehLRoata8kiQx992/UaT7kV2YwrCX2rBn7UlssgyGj0kf9jfbyFJTpNxMY8n3m5HSXHGwcSa1IA7PJjY0CPSlWdumNAqoV/L7WPnHVhKPQL4mi4dndjR6zxgjKyOH719bjaddfZSNMpj25njAEBS4+c9juNIAQRDJ1MWidBDRFklIWgH0VoiyAmvBBoWoRGGlxFphgyjc+r2mFyTy/FdDzPIV//zVhdgX1MW2SXaJDA8ih3efJiiscYXPEr1Oz/zZyymKd0GSJVoMd+Ohkd3ukpQ1T60qxYmJiTz66KPs3buXp59+ulyl+LfffuO3334DIC0tjfj4+MpcxwNJVkYOP726CRuFAyNntODq+Viu7szDSlTg3wEmTBt6V+VJuZnGbx+vw1VuREFRDj4tIaR1YwpVRahVRagLNWjUGjJTc8mJUmKvdKLQ8QYvfTKhzNbzlQvX+PfrA4YVZFE0E17vg4ubE6IoACAIAoIg8uvHq6usEBdzaNcpji29SZ6UYpZ17X5DkiR+/mgp0k0vRNEKVVEean0+kliEaCNh66hAnabAzc4Pu6bZTHnDuFtIkbqI2c8txtumCYXO15nx5VMm5zxx4DxbF5zH06Eu6fprPP/Jw0Yf+JIkkZyYRkJMEjevp5GelE1uRgGqXC2STsavqSu9hrardh7oqpJyM43fZu3EztqRXpMb0q5rCz6a+hvuQmPqdpPL9a0s5vadijv9BfPzVHz9/HJcbf0IHmjHwDHVSyV2v/HxswtwkxrS8mGXMqnFSrJf2DbEvVWh0WDO2wNj0/XXeOunSaUWlOv/2cWNg2K5bi5g2DU5tSmhVCo0SZbIKUxDISoRBSuGvBxqMojs0pkIdv0SS7Z8nQ9/nwrA8gWbST9tR7ZVDO/8bFzpvxusWLiFa/vzUFjZUKhIJaCtH4PG9jAZS5AQl8TJ/RfIzylk5BN9zfZ3v5P1/+wiclcBSoUtCitr0jTXmP7do3ctU4MxsjNzWTJ3A3lxylLKf6GmgHxtBlhrcFc0Iqswiac/6V/pwPG8nHy+fvlfvO0ak28fhypTj7dtEzQ6NQXKREZP7WVWSlRJklAXFpGXk09eTgH1G9eplKEkNzuvyt/bg0pM5HV0Wt09exfUFLWqFI8dO5bp06fTqVMnnnrqKYul2Ahnjl5i7+9xFGkLcLJ1J7swlSHPtyzlkH+32bvlGAeWReLpUNdkn/SCRPo+GVKuq4VWq+OnD5YippnO+QmQYx3Dm3OrphAXk52Zi7Or4wOd5uzonjMc3HwOdb4evVpAlJTYWDngoHRGoy+iflerCq1dmiIts19YhJeiqcFPWsjG0UtBg2Af2nVvToPGdfjpo6XIyV5otIXU62x91xdfNc3trg329TVYp9ch3z6OWd8+bfYYep2eT6b+gZeyCbZNM5k84+GS9GfeNk1wbp7H4y+OqMWruDekJqWz6K0DqPX5vP3HoyULytuzNQh1U3j+3Qkmx5AkiW9m/YV9XgNSi6KZ9ZMhQKdQpebraWsQBdGkv++daIq0XDx9lStnY7gZm0lBhg5Bp6DTyMYVLki+eG0hToWNCBykpGFAHdZ9dQGVLoeZ8+9N4PHtSJKELMl3PdvJ5bORrPjuII4+ItPnPHnfPB8lSeJ69E0unorkelTyf25IVtiJLhSSyStfja20y1Uxt++aqYrykN0zmPDSoAc+M5OFu0OtKsWNGjWieIj09HTs7e357bffGDlyZJWF+l9k2a+bSD9jS7omtpQP2L1Eq9WxbslONGotSltDTkgbOyV2DjbYO9jSol2I2Svn4/vPcWLPJcOuqwy331Zu3k41HqX9v4ZWq0On1Zkd8KLX6fltzgpSYvKw0hj8Fou3AtValcG3Tx3N5PeHGM1a8CCyd8sxzq3JRKmwJVUVV6WAKoM7xlI8bOtRt6vMlZMJuOoam+2O8qCy+Id15IU7o/e5ycsfGdIEFkfaFzjE88Y3ZbNfGOOH9//GKtWf1MIYps8dzx9fr8M6vQ5e7dV3JeAmKyOHX1/fSZFUgCTocbH2offUhrTu2KzW57Zwf1GkLmLjsr30Hd75vnifWnhwqHWf4mIsluLySYxPxq+et0U5tFDjZGXkcHz/eaLOXyczSUXdIHcmvTb6f+5eW7VoGxf3JvLku/1pHFi/SmOkp2bx8/SNJdv45mRCedApLqrhovBj6OshbF9xBDHFv9xIe1PcHjjnrPQiR5fER3/dPdeFRd+tRhVh8IEsLwONBQsWLBijWkrxhAkT2LdvH+np6fj4+PDRRx+h1WoBePbZZ0v1tSjFFixYeBCIi7rBko/3o7cu4J1fn37gfNSrwuWzkez4+Rp5RZm42fuSXhRbZf/8xT+uI/uiPbIs02tq/SrnqK0KkiTx0eSFWNvzP7+YsWDBQs1jKd5hwYIFC3eg1+nvuv/nvaYkb3BBPDPnja9Wzuod6w6Rn1PA6CcH1KCEFixYsFC7lKd//u+bRyxYsGDBCP/fFGKAFz6YwNJfNvLiIyOqpRADD3RKJgsWLFgwhkUptmDBgoX/JyhtrO+7UuEWLFiwcL9gccayYMGCBQsWLFiw8P8ei1JswUIF6HU61k2ZQkpk1L0WxYIFCxYsWLBQS1iUYgsWKuDsihUEHTzEwffevdeiWLBgwYIFCxZqCYtSbMFCBcRt3AiAEHXtHktiwYIFCxYsWKgtLEqxBQsVoLgcDoB/fj6SJN1jaSxYsGDBggULtYFFKbZgoRzyMzJoVFREpiThKopE7d9/r0WyYMGCBQsWLNQCFqXYgoVyOLN0KUpBIKVTJwCubdlyjyWyYMHC/wp6ne5ei2DBgoXbsCjFFiyUQ/KOHWhlmT5ffE6+JJF/+sy9FsmCBQsPOJIksWLIEI6ENiPOUtnVgoX7BotSXAHXz57lyq5d91oMC/cIh+gY4pRKXP39uWFnh3NS0r0WyYIFCw84ax57jLDoGDxFkTNTpt73sQqSJHFuzdp7LYYFC7WORSkuh7SYGOLGP0Lu8y+QmZBwr8WxcJdJj4ujoV5PUXAwALomjaknSeSmpt5jySxYsPCgsuHFF2l29hwXPdy52rULIYWFbJ35xr0Wq1wO/vADNm+/zb7vvrvXoliwUKvcV2WetVotN27cQK1W32tRkGWZwuRkXObNQxAgJjaWlPx8AGxtbalbty7W1tb3WEoLtcmZvxZTTxCoP2QwAF7dumEVfoWLa9bQ9dln77F0FixYeNDY8dHHNN65iyv29ozcuRMrpZLNrVrjs3EjiZOeok7z5pUeU5IkVo0aDVlZCF5e2Nati3PjxniHhFCnVUucvb2rLXfqwYN4A2n/LofXXqv2eBYs3K/cV0rxjRs3cHJyomHDhgiCcE9lyYqNxdbbG7WjI3JhITY6PcpGjVDY2JCRkcGNGzdo1KjRPZXRQu2SdWA/7pJE63HjAGg+ejRpvy0g6cABsCjFFv6fsO299/AICqb9xMfutSgPNId++QWfpUuJtVbQf+cOlPb2AAT9+AOqac9y9KlJjD5xHFGs3AbuwR9+ICwiglxJwjElBfHy5ZK2RGCbpwcPHzhQ6XFvR4yNAyAgO4uM+Hg8GjSo8lgWLNzP3FfuE2q1Gg8Pj3uuEBdkZGBTUEChKOLaoAF2/v6IAuQlJCAIAh4eHveFNdtC7eJxI5F4R8eSl5dnw4bcQEaIiLzHklmwcHfYMmsWDVauIveTTyyZEqrBmVWrsP3ue5IFgc6bNuHk6VnSFtS7NzEdO9IsP58dH3xQqXElSSL/twWkSBItT5+i6ZnT2Pz5J9kzZxI3aiQXfbwJS8+o9Lh34pOfT7wgYCOIHJozp1pjWbBwP3NfKcXAPVeIdRoN+qQk9DI4NWmCIAjYubhQqFBgqy5CU1hYZRkz4uMr1X9F9x6sftRinbkXxJ06RR1BQGzVstTxLC9v/PPy7vvAGAsWqsuJJUuos2496ZKEvyBw4Pu591qkB5LI/ftRv/0O+QKE/vsvng0blukzfMFvxIgiLstXkBIZZfbYe7/6isaSRN7AAdg6OWHj4EDjTh3pPPlpBn3+OaN37iTaqvLj3k7ipUt4iCKFXTpzHRD3H6jSOBYsPAjcd0rxvUSWZXKjo1EAor8f1jY2JW32deqAAPlVDLi7tGULiQ8NYOtbb5nV/+zq1YSlpeF85nSV5rNQPS79sxSApqPHlDpu2yIMV1Ek5siReyGWhf8R8jMyuLJrFwd/+onN02ewasIElvftx6r2Hcx+RtQmsSdOoP3kU9KBJmvXki5JZP3zz70W64HkyksvIwB+8+dT745FdjHWtrY0+PorHASBA088Yda4ep0OzZ9/kSTLDPjiC6N9FEoljb7+xjDuk09WSf6I/3Kz+3XrRn779jTV67m6e0+VxrJg4X7HohTfRs7169jp9Ww+eYo2XbrQtGlTvvjvYWPr5ITa2hpbjYaigoJKj3352++wFgQUa9ei02gq7H/tm28AqItA6rVrlZ7PQvVQHT9OpiTRbPCgUscbDhwIQOTGjfdCLAsPIHqdjiu7drHptddZ0bs320JCievSFV58Cc+ffqbx5s00O3uOhgkJ+OTkUH/NWrZXc7u7OuQkJxPx5JNYA/4//4R/s1CSW7QgpLCQiL1775lcDyJnVqwgUKMhqXMngnr3Lrdv88GDiWzZgubZ2eyaPbvCsXd/NpuGskzh8GElLl7GaDZooGHcrCyzxr2TjBMnkWSZ0CFD6DTrDfSyzIUffqj0OBYsPAj8v1KKZVlGW1Rk9K8gIwNlXh4Fssybn37C1q1bCQ8PZ9myZYSHhwPgULcuAAU3blRq3rz0dBpfv06KJFEXgT2fG1/VFxN/+jTBGZlEW1kBcGnNmipcrYWqIkkS/unp3PTwKBOcEjpgAAWSRN4piwXfQvkkXrrEqnbtORXaDF58iSZbt9Iw8SYqGxuuNG9G7MgRZE1/HcVvv1Lv8CE6RkbQ5vgxYqyt8f13OUcWLLjrMus0GnYNGUIdSUb90ouE9OsHQNePPkIry5w3YZG0YJzob78jX5Lo8/nnZvUf/uefxAkCtn/+xc3L4Sb76TQa5GXLuIHMgM8+M3tcmz//qnR6UTE2lkRBwNnbmzrNmxNpb4/PlSsWH3ML/5P8v1KKAXRRUUb/xP/8iK9kZNC0aVMaN26MUqnkkUceYf369QDYODigViqx1WrRViLQbv9ns3EURZQzZ3BTltEt/7dcn9Tj770HQJO536OVZdIPW7bqwbBYUOfl1fo8V7bvwEMUse3YsUybQqnkhp0tTkk3a10OCw8ueenpnBs3nsa5ucT7+3Nt4ED44Qfahl9m9LmzjF29msFffEGXKVMI6NEDRw8PABzc3Oi8aSMpgoDiq6+5uGnzXZV7zajRhBaoiO7dix4vvVRy3L9ZKBEe7jSKjbPk6TaT6KNHCcnKIjYgAFd/f7POUdrb4/fZZ9gB4aNHk3DuvNF+Oz/8iPqAfuxYFEqlWeP6fvoJroLArscmVuIqwDsvj2wP95J/2w8dgrcocuTX3yo1zoPIlR072fnpp/dajPuenORkzq9bZ3b/qAMHWNG1K0lXrtSeUFXkvkrJdjsfbbxM+M3cGh0z1M+Zl1s4mmy38/AgJeIq9erVKzlWt25djh8/XvJvx3r10F2LRpOdbfa88o4dJAD9Jk9m86XLNN2+nYM//kTPV14u0zf75k0aXYvmqrs7Y/v1Y7OVFTaxsWbP9b9K4qVLpE94lHO2tgw+cRxrW9tamyty9SqCgeaPTjDarm3UmCZXrpCXnl4qityCBTBY8bYPHESIXk/y5KcZN2tWpc73bNiQwL+XkPDoY6hff514P18atG1bS9LeYtNrrxMWHc2FunUZP39+mfaGz7+A46efsuf99xlppN1CaU598AEhQGczLLm302r0KI7lZOP6+RdEjh+P/p+/adiuXUm7Vq3GevVq4kWB/pVws2k9Zgwr/lpMWGQk++f+YPT9cyc3L4fjKYqkBwWVHOsxYwaXlq8gaelSeOH5Sl3bg8bVmTNpqlaTPHYsvrd9BneDM6tWEbN6NZKqENSFoFYjFGkQtVr0vr6M27zprspTHruGDCW0oID173+A98sv0fmZZ4z2S4mMYt+LLxASf50mssyVTZvwCwm5y9KWz/8vS7EAbg0bmvyzdXKqcAilnR1qWxuUeonw7dsr7H9h40aa6vUUdOmMKIo8NPsz0iSJ7N9/N9p/z9tv4yiKNHndkCC9oG5d6qnVlbJM/y9yePp0bAWBQI2GtWMertW5pLPnuCnLNOrQwWi7R9cuKASBi2stZU8tlGXNiJE0y88nsns3+lZSIS6mYbt2uH77LXZAxGMTSY+Lq1EZb0ev07FqwgQabtnCVVtbRm8y7i/f9tEJxIgi9vv2W7KvVEB6XBwBcfFc9fIyGVxXHp0mTUJ+/32cZJnYxx4j+ujRkrYd77xLHUHA6rHHsFJUzq41dMlibgDyzz+Tk5xcYf+rWww7Fb5du5Ucs3dxIa6OP03T0swa40El/vRpAtVqFILA0S+/vKtza9Vqct9+h2ZnzxFy9SqNYuPwS0rGLSsL9/w8wqKjubJr112VyRR7vvqK0IICLjs54aFW4/r1N6xr0ZKjt+k4+RkZrJowgYShQwmNv85Vf39816ymz8yZ91ByE8j3iLZt25Y5Fh4efg8kKc2RI0fkhx56qOTfs2fPlmfPnl2qj6awUD67c6e8on2HCsf7t28/+WxgoJwWG1tybM3TT8vhQcHysUWLyoy7NyBQXtc8rOTY1rffkcODguUzq1ZV7YL+B0g4f14+GxgoL+/eXf63T185PChY3v7hR7Uyl6awUD4ZECgv79XbZJ+UqCg5PChYXvXoY7Uig4UHl3XPPiuHBwXL//bvXyPjHZr/q3wuMEhe36y5nJ+ZWSNj3k5yRKS8umUrOTwoWF7RqbOck5JSbv9Nr0+Xw4OC5QM//ljpuY4vXiyvbdFCjjt1qqriPjCsHD9eDg8Kli9s3FStcU4vXy4fCwiU9wUEypH798tFBQXy7sAgeXNIiKzX66s05rG//pIvBQbJ//btV2HfFQ+PlS8FBsnZSUllxggPCpY3vvZ6lWR4EFj5yCNyeFCwvCcwUN4cEnJX5972/vtyeFCwvOOjj8t8z4mXLssXA4PkFSNH3lWZjFGQnS3vCgySdwQFy+r8fDk/M1NeM2mSfCggUA4PCpbXtmghr378CfnAf/9e2badHL59x70W26j+Wcz/L0uxGbRv356oqChiY2PRaDT8+++/DB8+vFQfa1tbdEolzXNz2fPVVybHys/IoPH160R6epbKTdlvzhyyJYkbP/xYqv/uTz7FRxRxvK1yVPCokQDEm2GV/l/l8IwZiAi0/fxzRm5YzzUrK9z/+adWVspnV67EQRRx7dnDZB/vpk1JlGXkiIgan7+6SJLEiqHDWDt58n0VCLPnyy+5smPnPZn7blk19337LU327CXcwZ4xm2pma7PrtKkkjx9HE62WLYOHmH3e8cWL2RzajJWjRhF1wHhe2WOLFhExdCiNC1VE9e3DmMOHKiwJ3Pv998iWJFL+/KtS15GXnk7+p58RVKThxIsvVXzCA4wqJwe/M2e5YmdH2FDzvzNjtBk3Dtsv56AEkp+Zwrrx4/ETBGwnTapyhbqOTzzBZT8/ghMSKrT0CrGx3BTAxde31PH2EyeSKMvo7xNrZU0jSRKuZ84SZW1NdvfuNJJkLv2Xmu5uoFm9miRZpvebs8p8z/7NQom0s8MzPLzWnm3mvju2PPss/oKAzQvPY+PggIObG6P++IOWR49wpXMnvArVhJw4QY61NdkzZ/LwqZOEPNS/VmSuKSxK8R0oFAp++uknBgwYQEhICOPGjaNZs2Zl+tl7eBgq/Cz4nWQTytG+/wLs6j09udRxJ09PEtu0JlSlKnFOlyQJ/dq13ECm1/TpJX3rt2lDmiShvXSp5i7yASLh3HmC4uO56utDk65dsXFwoOXfS9AACS++VONBP9c3bUKSZVpXkCs008sTv9zc+24b+cDcuYRdu0bw4SNsatOWuFOn7rVInFmxAp+Ff5D64otk37y7AYrn1qzlcHAI66ZNq9V5LmzciOP8X7kuivTfutWs4CdzGfDxx4S3MKTU2v/99xX216hUZM/+HB+djpDwK+imTmND8zA2vvwyWYmJ6HU6Vj82EYcv5qAVBPj8C4b//LNZSpa9iwsJISEE5+URc+x4hf2L2frYY/gJAuEODjTPyuLYokVmn2uMC+s3EH34cLXGqC12vfsu7qKI99QpNTJey5Ejcfr+O0QgLOoa0VZWpd4RVaHe44+jFASO/vxzuf28c3PJdncvc1wURbJbtSRQo6nUffCgcHrpMuoIAkKfPnR5YxZaWSb853l3Ze5TS5fSVKcnp3s3k88R2wEP4SuInFy8uMbnT4uJYXfzMFa171BuYHvcqVM0OX2Gy87OpYJyARw9PBi9aBEtjx6haPZsBl+8QOfJT9e4rLWBRSk2wuDBg4mMjCQ6Opp33nnHaB9BFKn37bc4CHB4wqNGlSN5+3ZuAB0nPVWmrc9XX1EgSUR+YSiZeWzhQhpLEoV9+5byExNFkRRXVzwzMmrk2h40jvxnJW4355ZPV/3WrZFeexV/WWb7sOGVVkzPr1vHil692fDSS0Ts3VvqfOvwK8RbiXg1blzuGDZhYbiLIrHH758Xgl6nQ/XbApJliaj+/aijVpP26GNsmTXrninvOo2GpA8/Ik+W8RAEdjz66F2bO2LvXlRvvomnKNJg7z6uHTpUK/PEnjhB1vQZqICwZcsqtLZWhWF/LCRRltH+Mr/CDCybX3yR+kDOpEm4LF9OeNu22Ol0NN2xk7jefdgZ1oLQ06e56upK2717aDV6VKVk6fThB8jAqU8+Mav/0YV/0Cwungv16/HQ9m2kSRKZX35lVr52Y6Reu0bRzJmkTHr6vlPI9Doddjt3EisIdKnBhVjzwYNxn/czETZKfN56q8pW4mLaPz6RTEkir5zdm+SICLxEEavAQKPtbf9TzM98+02ZNnVeHieWLCErMbFact4rYv74A7Uk0X3WG/gEBhDl5IhfVFSF92xmQgIrhg2rdPXa24n94UdDGr9ysl50mz6dQkkibvGSKs9jDI1KxZGRo/CVZZrl5bGlZ09UOTlG+5584UUA2v70o9F2MCjHrUaPqvb9ejd5cCS9D2k2aCBxPXoQqlKx4fnSUbjFAXZ5nTsZvSHc69UjJjiI0KwsIvbuJWn+r2RLEn2N/BCsmoXiK4gk3gfW4hXdurGpWXPWP/98pfNdVpb406cJTkjgqp8fjTuVTo/W7bnniGjfnuY5OaybPNnECGXJTU0lfdabNEtKImDnLqTnnudIcAgrO3Vm3bRpNNRoyG9UvkIM0HDAAAAiN2yo3EXVIrs+/phGsoxqxAiG//gjbn/9SZJSSaP1G1jduUulg7X0Oh1RBw5w48IF8jMyqqRYb371VRpLElljRhMeGEBYcopZ1s7qcv3sWZKmPQtA5quvoAMuvfBCjS8O9n33HSkTH8cecPlyTpWCqszB1skJ6+eepY4gsPm/6zLGzcvh1D10mCt2dvSe9Qb1WrVkzD9/0zf8MgUfvE9kvbqIskxEzx6MOXrE7FRht1O/dWuuurjQICqK/AoW6/kZGai+/JJUYPDSpTh5eqIaO5ZGsszWGTMqPTfAvhdewE4QsAYiJz1lVrBX9s2bHPrll3Jz/9YE+776mroICKNqXhEI6dePkefP0/4297qqolAqSazjT6OsLJNKz9XNxUF2XY22N+rQgQilErfzF9Cq1ZxZsYLVj01kbatWXGnbDqfPZrPrjoqg5SFJ0n2x86bKyaHhjRtc8/Qo+X04DRuOpyhy+Jfys67smvwMYVHX2P3ii1WaO/70aYKzsoht0qSMy8rtOHt7c83Tk4Y3blSpmJgxJEli3ZChBGo03Bg5gqh+fQlRFbKtV+8y98jBn+fRPCeH6NatTAakP6hYlOJqMvzXX7liZ0eDPXtL+Uxe+eEHimSJ7v/lHDZG9zlz0MgyV159ldCCAm6ENcfBza1Mv3p9DQn0w9fc22wH0YcPE5aegYdWS+CevcT37ceKrl05PH9+rfivHpv5BgLQ/ss5RttHLf6Ly05OBBw5WirStTy2jRuPL5A7cwbCzz8T1a8vSZ4e+GRmErT/AEpBwG/QwArHCR04EJUkkXsfuCeAYYVvtXwF14EB/y2smnTuzOAzpwlv04ag7GyuPDSA3XPmmPXiidi7l82tWqObOo28ceNJ6NqNiyGhHA4MYmdwMOtatKwwh25KZBS+u3YToVQy4LPPGPr33yQAwrxfatWClHrtGhETHsUBsPt8Nl2ffZakh/oTVKRh8+vV23YuRqfRsHLMGLzm/0q2lRUuC36j5ciRNTK2KXq++iqXnZxodOoU8aeNF485NG0qSkGg+ffflVLKRFGk3YQJjN+9m4euXmHkr79WS2mrM+UZnEWRvR99VG6/LRMfx18QUL72akn6woc++ZgohQKPbdsrvbCOPnyY4Lh4wv18KXzpRepIMruGDi33+RN9+DAn+/TBY+4P5IwZw4HAIFa1a8+qRx5h//ff12hmj4J//iFFluj3vunn/v2Cz4gROIgix3791Wh7+n+7YKFDTPtFW/fvj78gcK5FS+ze/4DQ06dxUBcR2bABl9zcCM3ONrsk9KrBg9kV2gyNSlX5i6lBDn77Lc6iiPf4R0qO9Xj9NXIliZTly02ed3X3HoLj41FLEo0jIkmLian03Mc/+BABaGdGqj3vh8fgLIocnDu30vMYY8NzzxGWlMTFwAAGz5nD8J9+Iqp/P0IKC9nWs1eJYqxRqSj88UeSZJnBv/3v5aq2KMXVRBRFOv39N2og9pVXKCooID8jg0bx14n08Cx3G94vJITIBvUJKtIYFGgTJTjDRgynSJbIOnbUaHtVyUxIYNdnn5ldEOPMN98gyTJ1lv9L4aefEFmvLg3T0nH/fi4HmjVn3ZQpNbbSjz1xgpDERK76+5tciYqiSL/160gBxC+/qlBJ2/35F4QlJ3M5MIDOzzxDcN8+DP/pJ8YeOUK3q1ew/n0Bqc89R9fnK869aW1ryw1bWxwT748iHttmzaKOIKB48slSfmgKpZIxS/9B+vxzCkUR/0V/srFVa04tW2Z0HK1azerHn0A17Vl8NBqudOpIVN8+hLdtS0RgAIl16pDt4oqXWk3u66+X+8Lb/8xk7ASBoK+/RhRF7F1c8PjoQ9wEgZ0TaseNIvvmTU4OH4GnJKF7YyatxxgsVUO+/55Ia2u8t2yp9o5LSmQUGzt0oPnlcC77eNP9yGECe/asCfErpM2PPyIAJ55/oUzb8T//JCw9g4igoFqXp9PkycQLAh7btrPp9elGldLjixfTLCaGC3Xq0PXZW9ZtURSp99GHuAgCu6ZWzsXgzIyZ6GWZLj/8QI+XXiK6Zw9C8wtYPXq00f6nli4lZdLTOEkysSOGc7VLZ1I8PXDNy6PZufN4z/+VGwMGcOBH01vA5nLy738I0OnI6tatVvOo1xSdpkwhT5JINxUUGh1DoiyXu5vQ4603uWJvR6yvD7EjR+C8aiUPXb3C+B076P7nIjSyzIWPPqxQlsj9+wmJjaMesP1t4y6Ld4v8jZtIkyS6PnfrnrV1ciKubl0C0tNN7kxcfmMmRbKMavp07ASBfZX0+85LT6dBZCRXXFzK7Iwao+vzz5MlSWStW1+peYxx8KefaLJvP+EODoy5rYLu8B9/5NqAAQQVFrK9Zy8KsrLY9Pzz1AOY/DT2Li7Vnvu+4y5mwSjF/ZqSzVzulHXX7M/l8KBgefmQofLG116Xw4OC5SMLFlQ4Tszx4/L5wCB5ea9e5fZb36y5vKFZ83L77Pnqa3l98zB5xYiR8rFFi2RNYWGZPtqiInnfd9/JKzp2ks8GGtKkrHh4bIVyaouK5H0BgfLqVq1LHc/PzJS3vPmmvL55mOH6e/Y0Om9lWd6rl3w+MEiOPXmywr7XjhyRDwQEyocCAuWIffuM9rkZHi4fDgiUtwSHyIW5udWWT5Zlefmw4fL5wKAaS5WVl55epfPyMzPlAwGB8oZmzcpN06TOz5fXTp0qH/4vPc6K9h1KfV6XtmyVN4WElqTOuXHxosmxwnfulA8HBMr7AwLla0eOlGk/tmiR4X4YOrRM2/Jhww2pjr76upJXWj4F2dnyurAW8oXAIHn3nDll2q/u2SOfDQw0K5WiKY799Ze8PyBQPhsYKG94+ZVqSFt1Vo4da0iL9tPPJce0RUXyluAQeX9AoJyblnZX5LiwcZO8MbSZHB4ULG8OCSn1vMvPzJR3BgbJewMDTaZ5W96zp3w+MEgO37nTrPlOL19uuG9H3EpFpdfr5eW9esvhQcHyppkzS/Xf/uFH8pmAQHlXYJB8dc+eMuNl3rghH/rlF3lbULB8LCBQjjp40Cw5wrfvkLe99568dupUecXo0fK/vfvIK9t3kPcEBsnHAkxf7/3I8s5d5CMBgUaf2fsCAuUVHTtVb/z+D5n1HF/RsZN8OiBQ3hYULO8ODJKLCgqqNW9VuRkeLl8IDJKXDxtWpu344sUm09Ad+PFHQ5rOxybKsizLKzp0lE8EBMrpcXFmz7122jSjqVrLY3n/h+SzgYFyxvXrJvuE79wpbwhtJi8fOEg+v259mfaIffvkY/999nem3itmwyuvypcCg+R1YS3kkwGB8qrWbcyW8X7EkpLtLtD3rTe56OdHs6gonDZtMgTYPV1xtGWjDh1Q/DCXQStXlttP3aA+9bVak1ZdvU6H5vff8S8qIvjKFZy/mMOZFi1Z2bETm16fzunly1kxfDhHmofhPf9X6mVmElG/PpHW1tQ5f56CrKxy5z/8y3y8RRGH4cNKHXdwc2PQ558z9Pw5LoUEE5acwsYuXaqVFSLm2HGCbyZxpW6dUpWcTNGkc2c8f/oJEbg5ZWqZrWVJkjgy8XHsBaj/7bdmFWkxB4+uXbAWBC7UgFvLqgkTiOjcpUplfbe/8iqeoojHK6+UuyVu4+DAyF9/pdmB/Vxq1ozG2dkUTZ3G8r59WfnwWPSvvoq7Tkf82IcZfeI4dZo3NzlWSL9+OH7zNTbA9aee4vrZsyVtWrWarDlfkipJDDKSZWD4P39zHVD89lulAlJSr11j9cTHWduyFavbtWNF124s79efFSNGsnri42zr2YtAjYaEUSPp88YbZc4P6t2ba23b0jw3l12VqDKmUak48OOPrOjdG7vPZqP7L2PDsLnfmz1GTTJ4wQKSZJnCH38s8Sfc/MorNJRlCh8Zf9eqLIYNHcKg8+eIGzUSB50e16+/YVX7Dlw7dIjNEycaCky8/IrJwMMev/5KkSxzZWbZ7+pOJEni+mefkS1J9J93K2OCKIqM3LyJCKWSuus3cGLJEiRJYs2TT1Jn6VJuKK1pvnEjQb17lxnT7T8LdtOFvyMD0c9MqdA/ecubb6J76SXqr1hJ0P4DhF66TP0bN3DOzSVXqSTn0Qm1EmhZW7gNHIirKHLizz9LHU+JjMK7nCA7c+n4uWH38/jbb5vsc37dOppnZ3MtOBjFpKfwEwR2vHtv3E+OzpmDQhAIe7lstb92jz3GTSNp6HQaDQU//0yyLDPkF0OGiqB338FRFNkz3Ty/eb1Oh+PefcSIIu0ryHx0O00mP42NIHLYRGrYgqwsrr/4Ev5aLcExMVjPmsW2kFDWPPkkiZcukZmQQPy0aUhA00V/mPRjHvb9d8QOGULToiKsBYEW339ntowPGhaluAYZtHIFSYC3KJoMsDNG6IABFb7I3Dp3RikIXFxvPLBr/7ffUh9IHTWSOrt2cn38OOJ9ffDLyqLJli3Yf/AhIRGRpDk6kjBhAq1On2L8zp14vfwSbqLI7nffLXf+1GXLyJEkepYTHDNm9Wqi+vUlsEDFwV69q1zX/NSbs5CBzl9/bfY5IQ/1x+6LL7AHoh59rNTcm155hdCCAmK7dqWZGf7C5tLsPx/SxF9+4eDP80wGrFTE5a3bCDxzFntR5Pobb1QqKj8rMRH/Y8e4YmtLlynmpYBy8fVl7OpV+K9fR3jduoTcSKT5pUtEuLnReNMmBn7yiVn3bothw7D+9BMcZYh8ZEJJENOm55+ngSyjmTjR6H1t6+SE16ef4CoI7H5sYrlzSJLEyb//YUXXbtwcMoTQU6ew02hwKFDhlZ5Gw+vXCb16ldBTpwgsLCSiZw8Gf/GFyfGG//47cYKAzV+Ly/VnLcjKYvfnX7CiWzfOtmqN18/zaJJ4k6ve3rTatbPSGRtqEnsXF5j8NPWAzc89T+q1a/ju3kOEUkn/Dz+8q7JYKRQM+vxz2h49wuWWLWiUk0PB5GcIvRbNRT8/updTBtg3KIiELp0JKSwsN987GFINBhVpSOnZo8x2vtLenq7r1pIOaD/5lFW9ehFy/AThrq70OXgQn8CAcsdu0rUr2pdfoo4ss3PYcJP+yeufe44Ga9cRbWOD9qsvcVu/jsDz5+gcGcFDV68w4uIFHrrLn3916fT8c6gliRurV5c6XlzJzqdL52qN36BtW676+BAYF28ydWn0xx+TK0n0/fEHes+cSawgYLd58z2p4mp//ATRViIh/fqVaRNFkayWLQjUaIg9caLk+JbXX6eBDNpHHy0xuLQYNozLjo7Uv3DBrPiJ/d99Rx1BQBw5slK+/q3HjiVRlpH27jPavnn0aOoD+c8/h+/mTUT07IFOFAg5foKsMQ9zqW8/fGTgjZk06Vz+dz30229InTKFtCefIKCH6Tz+Dzx3z2BdmvvVfWLSpEmyl5eX3KxZs3L7mZL1/Lr18vIuXSq1bWIOiZcuy+FBwfLqJ5802r6+eZi8LyCwzLaTXq+Xz65eI2+aMcPodrher5c3hYTKOwODZJ1Wa3TstNhY+WxgYLlVuoZ8NURu9XkrWZZlefecOfLpgEB5T2CQfGXXbjOv0MDplSvl82ZWWzLGsUWL5NMBgfLW4BA5PS5Ojty/Xz4VECivbdHS5PVVh+Wduxi2gIOC5TMBgfKalq3k1Y8/IZ9ft96silPaoiJ5Q2gz+UhAoLx2yhTDd/zEE2bPv2LkyGpXPLx26JB8cunSKp9f/Jlv+6+C18n/3Gwquv5i2Vc/+aS8+8sv5X3fz5UP/fKLfPSPP+QTS/6WN7z0krw5OEQODwqWTwYEyv/27Sdf2rK1zDh6vV7OTUuTsxITzZL39PLl8sU7XJayk5Lkg/PmySsfeURe1aaNfOo/F5NjAYHy8q5d5Z2ffVYrFeWqw6o2beSTAYHyynbt5QuBQUY/m7tNwvnz8vLuPeQNzZqZ9X2o8/PlHUFB8s7AIJNuTdqiInlrcLC8KzBIVufnmxwrfPsO+cR/39vyIUMr/XtfM2mSwT1jzMNl2lZNeNSwPd6mjVyQnV2pce8G+ar8Kle4W9m2nbw/ILDU51VczS3zxo1qy3Z1zx75UmCQvHzY8DJtR//4w/C5Tni05NjOTz816g5T25xbu9ZQhW3aNJN9rh05YnAvGz9elmVZzkpMlA/9V4X2zs//zKpVpfqWx9oWLeX9Rt7f5lDsTnWni0pxNVxjriBXdu2WV4wYKW8PCpY3vT690nM+6JTnPmFRiu9g//798unTp6usFNcmewKD5JVG/CGLfZ3WTJpUpXG3vvuuHB4ULO/87DOj7WunTpXDg4Llc2vXGm3PzM2UQ38JlZstbCZn5xteGCeXLpUPBwTKRwIC5WN//WWWHMkRkfK+gEB5b0CgnBIVVaVrkWVZ3v/DD/K5wCB5Y2gzeWNoM/lYQKAcf+ZMlceriJyUFHn3l1/Kyx96SN4eFCyH//e3rnlYhf6dxYrw5jfekPV6vbyqbVv5zH8lXSviZni4fCogUF7RoWNNXUqVOThvnnw2MFA+Hxgknw00zz9TnZ9fovSa+tsWFCyve+45k75uVWX5oEGGF0bnLvLW4GD54n8Lm/CgYHlHULC8vFdved/3c8tVwu41UQcPlsQFLB8w8F6LU2X2fvutHB5kUHo3v/GGrC0qKtVeXFp623vvVTjW6eXL5Z2fflolOfR6vby8azfDs/C/MfR6vbx82DCDstyx0z3zdS2P7PxsOfT7UPmJn8xfTN/OppkzDQvP2xbGK9u1l3cFBtWUiCU+trf7vur1enl9s+bygYDAUvEUer1e3hIcIu8MDCpzL9Qmyx96SD4XGCSnxcaW229d8zB5Z2CQ4d4YOlS+FBgkn1650mjfVW3ayEcDAst9fl3YuKnMwqAyXDt0qMz5Efv2yScDAuUNzZrfl/fsvcbiU1wJevTogbuRCj73A+ke7vhkZ5fJ8HB97g+G7adyto3Lo+8775AsS6iWGs9IoDx4kFhBMJly6ruN3yHaiQhWAvsv7geg3YQJeP+xEJUgoPz0M/Z+XTbB++1oVCqOPfwwzoDL57Pxbtq0StcC0OOll0h74nEa6HQ00evJGjuW+q1bl7Rn5WWx9kjNpbdz9vamz8yZjNu+nYeuXsHx33+50rkTTTQadvXrZ9IPPP70aeru288VW1sGfv45oijS4feF6IDwF1+qMM3dgVdeQSkItPji8xq7lqrS7bnnyJoyFRm41ro1Tbt1K9X+yNxH+GpN6S1yGwcHeh07StHs2RR88D65b84i87XXSHvheZKfeQbVRx/SP/wyI+bNKzdnZ1UYvGQJN4AG6emobO24EhZG6rPT8N6+jf5XrzBu7x56vvIyNg4ONTpvTdK0WzdiOncmXoD+C81LSXg/0uu110iZOgWNKNJo/Qb2tGjJ9g8+QK/TUZCVhdPGjcSIolmuIW3GjaOfiYJLFSGKIkM3byJGFHH9azEXN21mZf+HCIuM4qKfL6MO7Edpb1+lsWuTL9d+iegqEpUbVaXzO73wAlpZJmbp0pJjnrk5ZBpJD1pVAt960+BjO3NmybH9335HgE5HZt8+OHp4lBwXRRHFhAnUEQR2mpGarCbQqFTUjY0jysUFz4YNy+0r9ulDHUFgx3vvExQZxWUvL9o8/LDRvg1mzMBFFNllwrdYr9NxZfZsCiWJnrPNj3O4nSZdu3JNocDpzBkkSUKdl8e1Z59DB7T4688q3bM/bfyJHad3VEmeBx1FxV3uEVvfhOSLNTumbxgMqprieD9gHRaG5/4DxJ86VZKm7MquXYTk5RHeLJSOVQzwsLa1Jbt7d4IPHebEkiV0ePzxkrbz69bRSJKJ6NHd5Pnb4rcheUqISpHj144zvNNwwPDSdtq4kdMjR1B3wQK25+Yw4OOPjY6xbvRowjQaYkaOYMgY8xO+m6LfO++wW6EgJzyc0Z+VLogybeE0wl3CcbF3oU+rPtWe607qtWpJvUWL2PTa6wRv3cqm3n0YcehgqTRNkiRxaupUGgGt5s8v8SOr16ol5wYOIHDHTja/+irDf/qpzPiSJLHh2WcJvX6di77ePGokiOhe0HvGdHKfeJyWd9yHqdmpXHK6xOXoy8xkZqk2exeXe+Kf6+jhQZ9LhudLR8X9+xisiNF//okkSQ9UxShj9Hr9dfQvv8zuz2bDsmXUX76CHStWkufhTpgoYlVBEGlNYe/iQoulS4kfNw6r11+nhShysUljHt648b79jLfc2AJ+kG+VX6XzPRo04ICdHR6RUUiSREZcHD6CSEY1DBN30nLkSNZ8/DF1zpwlLz0de1dX1AsXkiTLDDQSO9Ln7bfYtXQpirXr0H30UY2WTTfGwbk/4C+KFI4xntrvdrrPeoPYrVvxX7UKnSzTZZ7pUtntJkxgzZdf4X/yJHnp6aViLA7+9BN58+YRJslcbNyYNhUo4+Uhde9Gvb37uLhhA1fnzaOFLHNz8tM0aNu28mNJEr8k/ALX4FDgIdycam5x9CBwf/7KLRil4QBDkFjEbcF2Fz/5BI0s072KVuJi+s6eTa4kcf3H0kpYxLxf0Mgy3UxED0ckRKDyUdEwpyGyTiY8tXTFKJ/AADrv3EmctTV1lq9g46uvlRlj8xtvEBYXz8UG9Rny5Zdl2qt8TbNmMfqvv8ocD9eHI4gCX+80P5CvKgz97luudutKs/x81vbtW8ryu+ODDwgtUBHXtUuZnJRDvv+eCBsl/jt2lsrqAIbSq2vbtSfowEEuNBY5OLRhrV5DZTEWeb/26FoEKwG8Yd/5fXdfKBNYKRSlSqo/qNyvylplsVIoeOiD9+lz4TyxI0eglCTC0jMIt7en67SptTJnTkEO7/z9Djr9rd9mvVYtUb73LkXA5ZYt7muFeN/5fej8dEgaCb2jvsrjWHXtgr8gEL5tG+EbDXmLvSsIvKosdV59FVdRZNesWez84EMayjLqUSON7sZYKRQwfhx1gV0flTWk5KWns+qRR9gZHMKm16dXKz9+5P79FC1ZTJYk0f2llyrs7+rvzzUPD6wFgeiWLanbokW5/eu+/hquosjO/4LUz69bx9pWrfH86Wfs9XpiRwxnzKaNVZYfoMvMmWhlmYR33qHF9QQuNmxI31mzqjRWVGIUooOI6C4ydWHt/O7uZwRZluV7MXG7du04dUc1sCtXrhASEnIvxClFXFwcQ4cO5VI5Sf7vhaxatZoLLVpyrWEDxu/YwY0LF8gYO46rdeswfvfuao+/YvgImkVEoFzwGwE9eqDOy+Ns23bccHdnrInCIVPnT+Wo3VG+avYVM/bPwEHjwPG3jpfpl5+Rwc6+/QhWq7napTOj/vgDgLOrV8Nbb3PdxoZBx4/V+vbk7rO7efXCq0iFEsiw/9H9eLrUbgqrVY88QrNz57lQx5+xO3eSERdH1MBBZCkUDDh31qgVJPrwYXImPU2soyOjTp1EFEX2f/89inm/4CDAkdZN+WVgPHXT6rF15tZalb+6PPbDY1xwuQBAs+xm/PvKv/dYIgsPAlq1mv3ffEPzhx/GNyioVuZ4ZeEr7FHsYYrbFF4eXjoNl16nu+8XTcO/GU6MawyNshoR5xXH5oGbqe9Tv9Lj3LwcTtbo0Vxp2QIUCpqdOYv39m14NGhQo/KuD2uBW1ERWkFAKwr0v3jR5Ges1+nY3TwMgL6XDP00KhXbZs7EfecuPESRZFnCVxC57OREj2VLK+V2p87LY+PTkwm4cB6tDJmPjDe5k3kn59etI/LLLxm0cWMp1w9TrG3ZCu/CQhK9vGiWnk6+LJPYpTMD586tsQIYq9u1IzS/gBhRpN/JE1V2/fp9++/MTZ6LlCmBE/zc/md6texVIzLeLxjTP4u5P5e/FoxibWtLgq0tjjcMKV6OvP0OVkDbCkqtmkvX2Z+hA878tzI/8M03uIoi3o+MN3nOsdxjkAoD2w3EWeNMvq3xLTxHDw8GHTzAZScngo8cZeXYcaRERpHz1tvkAh1Xrbwr/np/HDQo46McRyHai3y2ump+XJVh9NKlXGzalBaJN1k1fAR7n3gSR0Gg3uefm9wWbNK1K/HduhKqUrFl+gxWDByE9/xfyRdFrL75FvX4viAIZOoya13+6hJVEIWcLmOVbMUlbfWqyVn4/4O1rS393nmn1hRigFOphhfj9sjtZdrud4W4oLCAaNtonFKd6FjPsNt06lrVys77Nwsl2toah4uX4Fo0SbJc4woxgOszz+AliobS35MmlfsZWykUSGPGUA/Y9fHH7PjoYw60bkPA7j1kKpXkvv0W3S9e5EqHDgTk5hI1eEiFsSvFHJ4/n0Pt2tP84kWi3NzxX7PabIUYDO4gY48cMUshBvB9+WXcRZGAtDQuBwYQsHsXo//8s0YrwvlNm0asKBC84LdqxUKcTzgPwHtt3gMtTN9aPUv8g4ZFKb6DCRMm0LlzZyIiIqhbty4LFy681yKVQtOoEfX1ehIvXaJRZCRXXF3LBDVVlTrNmxPh40NgQgKp166Rv36DodylibLHu8/uRvaR6eBg8G+uZ1cPwVUgM9e4ombr5MSIgwe46OlJ84sXiRw6FFcBnD79pFZffLdzUX0RMUXk40c/hjTYnbG71n/woijy8Ib1XPD3J+zaNcLS07kaHEyLEcPLPW/Y/Plcs7KiydathMXFcaFeXbodPULY0CEkZhsWRiprVa3KXl0kSaLApQAvnRedXDsheAlsO7XtXotlwQI6vY5s52wA4gXzi8jcL3y97mtER5HxoeMJq2+wqF5KqPqiU9euLQ1lmfrZ2WS4utaQlKXp/tKLXFNYEWltTa9yct4X0++D97kB+C1fQb1ly5AEgZuTnmLohfN0fOIJFEoloxf/hfD1V+RZifj+/jvL+/QlLz29zFiSJJFw7jwrunbD/fu5iEDqs9MYe+xouYWKTFGZ90bnyU+TMnUK7suWMm7jRtzr1avwnCFfD2Ho10PNnqPLlCkMDg+nSdeuZp9jjOisaKQiiYe7PUwPqx5o/DR8sOzuBDzeD1iU4jtYtmwZSUlJaLVabty4weTJk++1SKXw7NYVhSBw7IkncRRFmkx/vUbHb/bWW9iKIvumTCFQpSKlWahJa+bPe39GlmSmDzHUeG/u1xxBFNh7Ya/J8a1tbRmzby8X6tXFUxRJHDqMNuPG1eg1mOJkxElkH5lW9q0QRZEeLj2QvWVWHFxR63OLosjDO7Zz0c+XaCsrhi4u6+t8JwqlkqZzvydCqSTp6UmM37kTh/8iwlPyUwCQnKT7ehW/78I+RAeRVl6teHngy8iSzMJD99dC08L9iSRJdP68M1+urrk4g9vZdmoboqMIqSB4CpyKrJqV9V6xIX4DUrbE84Ofp12AofJndHp0lcdrOW0aAE6iiFiDQXa3I4oifQ8fZsCRw2b5aSuUShTPPMNNUSR60CD6XDhP31mzypzbYtgwehw7xsUmjWmemMiJrt1Y1a49G8JasCM4hMOBQVwOCSX/kUcITk/nUkgwHY8dpeerr1bpOj7+92PC5oeRmF5xYY5ier3+utmBbxuObeC613Vi7WPv+vM9VZ+KVY4VCisFcyfNRUgRWJO5plLX+iBjUYofMML+y8wQqlIRYaOscYWy2aCBXLG3IywpGStBoPX06Ub76fQ6IqwisE22JbRBKABdArsAcDy6rE/x7VgpFIzdvh239esY8k3tBrvdzvzd8wF4puczALw35j0ktcT8o/OrNJ4kSbT+ojXP/2a6atftWCkUjNu7l6GXL5m9bRbSrx8jL5wvU7Y4U22wxou2IrHJsZUT/C6y+ayhMtbgVoMJbRCKMkXJFenKfa3IW7g/OH71OPn++Sy9trTizlVg3Zl1AEwONBg+lhxcUivz1AZHLh9B46chjDCU1krqeNZBKpBILKi64tKkc2fiBAEArzuCf2sSexeXkspv5tB7xnQGXgln6HfflpuFwt7FhXGbN5P9+usUWYk45ecjCwK5zs4k1qnDleBgrnTqiHLePMauXVtiYKgKW2K3IDqIbDtdO7ten+01uPWJDiIHLh6olTlMUWhbiIve8H5SWit5r/N7CI4Czyx65q7Kca+wKMUPGF6NG3MDQ2yk29O1Y8X2mfYsAJFKpUnXjD93/YnoKjKg3oCSY12bdUXSSlxNv1rhHKIo3jWXiWJO552GNOgeZkgv5+vuS52cOqR5phGTFFPp8fZdMER+H8o5VNOiVkiuPrfk/09fO33X5zeXc6nnkAokerc0pI3r6tkVwUNg04lN5Z6n0+tMuuFYqDqp2an0+qIXF2NqON1lLbD7oiF4WO+r52TEyRof/0L2BaQMiZeHvYyUI3Ei9UTFJ90nfL39a2RJZtaQWxkGrPKtyJKzqjWuqnVrimSJ0GHDqiviPaPrtKkMDg9nwNUrjLhwnodPHGfc3j2MW7+O0X/+SXDf6qXhzFPlkeduyD1/Kr7mdxf+2fsPKn8VLkkGxXTLuS01Pocp0nPSEd1E6trXLTk2tvtY/NP8SfBMYM3hNWXOiboRxbO/Psvwb4bzy+ZfUBXd3y59FWFRih9AskNCiLCxoftLL9bK+J2nPMOl4GB8Zxi3EgMsO7cMSS0xffitPrZKW8RskSRNUq3IVR3C48PReesIVYSWOv5Kr1cQrUU+XmN+kEUxq06sAkD2lgmPD6+gd82iQoWkMlhbryReuatzV4YUqxTsc+xRWBkCal4d/CqyXmbRkUXlnjfg6wF0/8N0bmwLVWPBjgVk+GXwx74/7rUoFXL25llkyWAA+HHnjzU6tlqjpsCtAD+tH6Io4lPoQ65rLmqNukbnqQ1URSoirCOwT7anddNbRYmc9E6obaon//A/FuL0xx9lClgcunSIlnNacibqTLXG/19g8Z7FiLYG1Skqq2oFU8rjm+PfIOVJrJyyEqlQ4lzKuRqfwxQHLx8EIMS7dGathZMWIhfIfHT4IzRaDZm5mbz3z3t0+LwDo3aM4rDtYWJcY5iXPo/2f7Sn+xfd+WDpByRl3H+6QEVYlOL7mPVH13PoUlkr5Ni1axl5/lyt5c4URZGx69bS8YknjLbnFOSQ7JyMZ5Yn7s6lq/+56FxQ2d1/K8V5O+YhiAJPdCl9TUM6DEGRrOCk5mSpXKXmcDbjLJLGoJgu2le+klfTaKw12OYYioHEZFTeyn03SEhLQPASaOpwyz+xiX8TbFNtiRQiTbpQ/LjxR1J9UxHdRK6nXL9b4v6/4Oh1Q2rF6zn3/+d6XX0dIUNATBY5W3i24hMqwerDqxHtRLrXNyy8etbviWgvsvzA8hqdpzb4fsP3iM4iDweWrqLmY+OD4CxUS7G3trU1Gqi1YN8CJF+JL7dU37/7u3Xf8e3ab6s9zr1iy9UtSFoJIUUgnbIBfdVh/pb5aP20dLbqjJ+HH7bZtiQJd0+xPBVjsHy3b9K+1PF6XvUY7jwcyUei0zed6L6sO+t06yhwKKBpVlO+CPmCA2MP8JjDY3jneJPplMka7Rr6re1Hl8+7kFOQc9euobpYlOIKSM9J52bmzXsy9ztH3uGFzS/ck7nL4/sN3yPai4xrXtafub59fUQ3keTM5HsgmWmOZhxFypAY1G5QmbahdYciuovM2zzP7PF0eh25Lrl4ZXgh5UocuXmkJsWtENlOxkP0QCqQuKm6N/dnRaw+shqAnk17ljre3bs7orvI6sOry5yTmp3K/Oj5yDqDhbCqKab+l5Akie5fdKfr59WLKgdIkBIASCtKq/ZYtY3KUYWbzo1OLp3AmxrNWrL5osHXfWLPiQBM6jMJWZLZeLH8IgqSJDH8m+Es2nF3F8G3s/baWqQcg9vH7TRwbYCgEDh7rWYXEADheYadsEv6S9WKB9h8YjO/p//OotxFPP7j43c9tuC1P15j5cGV1RojXozHLs0OX3zROmtr7BokSeKXi78g5Uh884QhtVwDZQNkD/muuZJFpEUgSzLdmpV1m/xs4mfYJNlQ5FqET7YPL/u8zPkXzrNu+jqGdBiCu7M7bz78Jnvf3MvZqWd53e91/DL8yPPP49v1D84iyKIUV0CqKvWe5ILV6XXILjKSr8Txq+UHrt1ttsRtQcqRmDJgSpm2Fv6G6j7lZaC428Qlx1HkVUSAHGDUuv7m6DeR8iT+ufyP2WNuOLYB0UGkS50ueBd4k+2afde2XgsKCxAdRNxt3A1+hPrq+RHWFodjDyNLMqO7lC6d+srgV5B1MouPLy5zzlMLnkJ0E+mqNSiAl29cviuy3s/M/Gsm2X7ZZHtW7x7LzM1E72GoepYr5FbQ+94SHh+O6CwS6BLIa4NfQ5ZkFhxcUGPjX1VdhVTDzgVAfZ/6WKVaEamNLPe8eZvnEesZy89nTJf2rU1ORZ6i0LeQYH0wtkrbUm3BfsEAnIs9V6NzqjVqVO4qpHwJwUMwupg1hzxVHm/ufxPU4HzTmXPO5xjw9YC79txUa9TslHcy9/DcKo9x8OJBBA+Btm5tCXALQLQXOXOtZlxKvln3DZKvRD+Hfrg4GPyJOzXohGAlsP7Y+hqZoyJuqm8iZ8s42ZcNhBRFkSPTj3By0kn2zNrDlIFTStzi7kRprWTSQ5PY8voWpFyJ7fFl84Dfr1iU4jtISEigd+/ehIaG0qxZMxYvXIwgChQWFd5VOa4mXEW0Nnw983aZb8GsbaJuRFHgXUATbROU1mUjgbsGGZSZk7E1HxhTVX7e/jOCQuCRdo8YbXewcyBIE0SBb4HZAT0bzhlKbU/oOoFeDXrd1a3XyETDi9vbwRtHvWO1/Qhrixh1DEK6gLdr6dLPDX0bYpdqR4x1TCkry7J9y7jueR2/FD/eGfUOUL0UU/8LHL96nG1F25AKJUSlyN7zVV9srj6yGkEhIOVKaO20NShlzbP9rOEl2qlxJ4LrB2OTYsNVrtaIVS4rL4sizyIaCKWLU4TYhiB5SUTfNH3PLbpssBCrvdVE3ah5f9KKKHZfeGPQG2Xa2jRuA8DV5IoDnSvDuqPrEG1F+tr0RdJKLDpWNSv54788Dt7wpN+T7H9jP00ympDsk0yPb3qQnlOzbgjGOBJ+BEEhkGNV9a38JYcNGUqe7P4k7RsaXAz2X95fbdl0eh2LYxYjZUp8PvHzkuMjOowAYF/UviqPvfPMTsK+DmPPuT0V9s2zzsNR7WiyXWmtxN7G/CJbSmslDdQNyPPKIyEtwezz7iUWpfgOFAoF33zzDeHh4ew7sI9/F/1LdEQ0uYV317JyLuYcAJJW4kzh/RPc8M3mbxAUAtO6TzPa3jG4I5JGIiIj4i5LZpoDNw8g5UiM6246fd1bQ94C4PPNn5vsczuXci8hp8uENQ7j6X5PI+tlNlzcUCPyVkRMssGH2N/VHw9rD2RnudL+0LWNRqtB7abGT/Yz2t7bvzeiq8iy/csAg/V79qnZyHkyf03+i/o+9ZFUEjcL7k/XkLuBRqvh2XWGTDBT/Ay7MnvCK36xmWJP5B5kSaaBugGCk0CeKq9G5KwNTl43LE4HtTW4O/X27Y3oXjMLz38P/ItoLdKnSeksBCNajkAQBRbtMa70rT60Go2fBtckVwQrgR+31WzwX0VotBoui5exTbGlY3DZlGktG7dE1snE59RsIZItFw3ZD55/6Hmc0pyIt41Ho9VUaow/d/7JNfdreCd788aYN1BYKVj3+jp6aHqg8lXR59c+XL1es8r8nRyLOgaA5CpV+Xl5JvsMcoZMl2Zd6NuqLwDnE89XeJ5ao6b3nN5M/HGi0UxHHy//GLxghOeIUkpnUL0gpEyJyNzydzBMIUkSb+54E7zgr8Pl58bXaDVIrhI+Sp8qzWWKx9s/jmgt8v2m72t03NrCohTfgZ+fH23aGFbcKKBxYGNSklIoKCq4q3JEJBmUSt8MX/DGrFXe3eBYtqGs85AOQ4y2K62VWGVbkaJLucuSGSc1O5V8r3zqF9UvNzCxfVB7HJIdiFBGUFBY/nddUFhAoUchdfWGtDX1vOqhSFMQpbs7lqO4tDgAGng2oJ5zPURrkasJtftCqSzbTm9DtBVp62s8Wf0rQ15B0kr8c8rgsjL5t8ngBU/VfQo/D4MiLeaLNeIa8t267x4YK8XtTP1tKjo/HYNsB/Hi0BeR1BIXU6ueSi1KFYWQIdDMuxmCKHAu+lzNCVvDxBbEImVK1PGsA8BrQ19D0kosPlnW5aay7IzYiayTebTno6WOj+k6BqlA4tAN4ykWvz34LVKhxL/P/IucIXMo/e6mYtxxZgeii0g//35G25XWSuRcucb9xcPzwpHTZYLrBzO40WBEZ5EF2813ZUnOTOary18h58j8M6W0i9rPU37mcafH0bvpGbNmDDtO76hR2W8nPNngFy0qRU5HVT6NZXpOOoWehTSUGgKG576UIxGbX3Ge+A3HNpDum8555/MM2zSMfnP6lVyrWqNmTfIa5DSZDx/5sMy5bkVu5DpUzSj3xeov0PhpkCWZq7nlvyOOXz2OaC3S1L1mC7eM7zEeKVNiX8q+Gh23trhvi7vPOTGHq5k1+6IPdg9mVodZFXf8j4hrEVy5eIWw1mFopMqtjKtLXGYcOMM7A97h5bMv89v+3+jTqnr5FatLnioPrYeWpjnl/2hc9a5k2GfcJanK5+ctPyNaizzc4uEK+04IncDC7IV8seYLPnnsE5P9VhxcgWgj0r3hrZRhzeyaccHlAuHx4SXFTGqLxOxEEKGxb2OSs5M5mHOQs9Fnad6w8qVKa4sdF3eAEoa1NZ7vtI5nHRzTHIl3iGfbqW1cdLiIW5IbM5+cWdLHUedInrJ61sxLcZf4I+cP9i7ey4bpd8eSXxNsPrGZkzYncbrpxJezvkQURZTZSpKpWgCrRquh0LUQ/1x/gnyD2Ja8jQvxF0pydt8tom5EEVA3oMJ+uba5uKhvFbip41kH5zRnrjtdR6PVGHXdMpdoXTSKdAW+7r6ljiutlbjmuJLmmIYkSaUW0UcuHyHHN4emmU2p41mHYCGYqz5XuXr9KsH1g6ssS2U4GW2wnhcXSTKGXZEdeVY1twOgKlJR6F5InRzD4uSVYa+wfMlyVl5ayQtDzQsCf2zBYwjeAjPqzijzmQPMengWDfY34JNLnzD90nSkgxIuhS40dWpK50adGdJuCPV96lf7Wq4XXAdnw/8fjThq1NpeHn/s+gPRWmRIyC2DkH2BPdnW2RWeu+PyDrCHqe5TWRe+jiT3JKZfmo7NThu8rbwRvAUm2E8wel+HuoZy1O4oZ6+dLZWCryJyCnL458Y/CHoBN50bmc6ZZe7r2ym2pLdp0MbsOcxBFEWCCSbCJ+Ku/l6qisVSbIL8/HyenfQssz6ZhYu9C3pBf1fnTy5MRiqQ6NOqD9Yp1lzSVS/qtybYcHwDorVIh3odyu3X0LEhoot4X1jndsXvQsqXeLzP4xX2fXHoi0iZEpsSyi8ssS18G7Ik83jPW2M+3M6gdP+xt/bzv6bmpwIQWCeQ5vUNivCVm1XPVRx9M5pNx8u/5spyIeMCUp5Ep5BOJvv0q9cP0UVk+uHpoIGFj5Uu/+xp7YnsUj3XkD0XDDssMcL9mbbOGLcHJC15fEnJS8xP9EPrrq1SYNK209sQ7UTa+7WnZcOWAESmVG1LtqpMXzSdUTtHsfPMznL7JaQlILqLNHZsXOr44MaDEZ0qZ6W8k8T0RPReepoomxht7+zXGdFZLFNc5sPNHyLrZT4d9SkAz3R/BkEU+GHbD1WWpbKUZAYINV5QCcBNdEPvWHPvqvVH1yPainStZ4gVcXFwwTvbmzTXNLLyKt7FmbNqDqm+qTTNaspT/Z8y2e+Rno+w5KEltMlvg2uhKzm2OZx1Osu89HkM2TaEFl+2qFKBpdvJFrPB8OjkYmLld1x2XNuBpJZ4os+ttJ7+Sn8kV6nCghXh2eFIWRIvDXuJ3bN2s2HIBlrktKDQoZAE7wSEFIE3x7xp9Nw+IQZj2MZT5WdGuZMX/ngB0V3kueDnaOvVFtFRZN+FfSb7X04yBDX3aNajUvOYw5TuUxBEge+2fFfjY9c0962luDIW3ZpGq9UyZswYBo8eTP+B/VGKStRWarQ6LdYK67siQ5Y+C6t8KwC6eHThgPIAW05uYWjHoXdlfmPsu7oP7GF4u+Hl9mtZpyVnc8+y5/wenuz35N0Rzgg5BTlku2fjm+1rlmVJYaWgnXU7zrifYcfpHTzU9iGj/SKLIhHTxFLWixGdRvDu6Xc5mn+0xuQ3RYY6A8laws3JjXYB7eAixGZVvdTz5MWTSfNMw97GvsZ2IzJsMnDKcyrXZeWlwS+xbvU6RFeRIcIQguqVrnBY17kucdZxXIm/QljjsCrJcSbhDDiC4CGw59yee77bYg6Pz/8vIMnxyVJW1ZY+LUmQE9h7fi+D2pdNLVgeWy9sBRsY1WEUYY3CkA/JJOTcvUVrZm4m2/K3ITqLLDmyhP5t+pvsW1w6t139dqWOvzj4Rf79519WXV5ltpXyTv7Z/w+CKDAwZKDR9id7PMn2g9tZdWoVwzsZnnNRN6JIdEvEJ8On5D4c2G4gM/bP4Ki29n/vxdwovIEsy2Vyw9+Ov4M/yQ7JJKQlUM+rXrXn3HppKzjBI91uBSmPCxvHvPR5/LDpBz6Y8IHJc6NuRLE4eTFiocg/L1ac2adNQBv+Crjl9xqXHMemk5s4HHuYix4XmfjnRA7NOlSl/PySJKF30VMvpx4JBQnE51XO71qSJJJsk3DKdMLBzqHkeKhXKDFyDIcuHTL5vpAkiRyHHNxUt8pKN/Fvwj8v/0NBYQFzN82l15BeJq9rWIdhfBL1CSfTzA9evxhzkbM2Z3G66cQLT77AzjM72X1xNxvPbDT5DIzPj0eSpRqxyt/JwHYDmblvJsf0x2p87JrGYim+A1mWmTx5MsHBwTzx/BMoUGBvbXB8z1XdvWA7tVKNg97w43t54MvIepk/Dt/bKlRXcq4gZUsVKijdQgyWjNNxd6f88Pno8/y08ScWbFvAkt1LWHFgBeuPruf9f99HtBUZETLC7LHeHfkuklbi2z3G8yqm56Sj9dTS2Kq0FUsUxbuWmi1Xlwv/GSbcnNyQciVSCqvmwy1JEmkOaYjWIjO2zaiR3YiIhAhEd5Eg5/LLePu6+9IguwEuSS7Mnji7THuAl0EhPBNT9UDT2LxYJLXhmioKNLkf+GvXX1xzu4ZXshdvjCmdYaBPc8PLrCrBdhczLyLlSLQNaIut0hY5TyZNY57v6eCvBjNtvvHAWnN5+a+XEZ1FpHyJi/nlW+mOxhgUzYGtSyuubk5ueGV7keqcWuViAPti9iFpJB7pYTwTTVjjMEiDS/mXSo69veptBIXAOw+9U6pvc0VztD7au1YyO8cqB7tCu3L7NPU0uLadiqqZ/N7F/sS3L1gnPzQZKVdia9xWk+fp9DomLpkItvBlry9LKZLm0tC3IS8Oe5FlLy+jtao1ef55vPvPu1W6jnPR5xBtRRq7NsY6z5oMKufet/XUVkRXkc4+nUsd7xRg2Ak7FGHav/x01GlEF5HmbmXd2xzsHHh77Nt0aWbaJcbBzgFFhoIEvfmL2BdWvAAifD3sawD6tuqLVCBxLvWcyXOyyEKZX3W3pIpoadPyvkwxeycWpfgODh8+zJIlS9izZw8P93mYUf1HcfSA4SGdX5Rf4fnno8/Td07fCrcIy0OSJGRnGQ9rD8AQgWqbakuEEFGjLhRXr1+l/eft2XrS9MPtdrJss3BRuVTYr21AW6Qiicisu7M9+/jqx/k181d+SPmBL298ySexn/Bu5LvsUexBUklM7j/Z7LEC6gbgnu5OglOC0TRBf+/7G0Eh0Dewb5m2u5WarVAoxFp7a8dCoVKQLWdXaaxdZ3chOosokhVo/bTMWlL9HZq1x9cC0CeoYqvslplbOPSmcetP8Tb/1ZtVjy3ItMrELssOUuF8fsVR4vcSSZL4+tzXyDkyS6csLdPeM6wnUlHlg+0kSSLLPgs3lVvJ52yjtjErV7FOryPeJZ5DhYeq/OyJSYrhrPVZ7G/aE1QUhNZbW65r1bXca0g5klHfw9GhoxHtRX7a/FOVZEkQErDNsDWah7WYRkIjNF4aUrNTSc9JJ1wZjmOyI31bl/7NT+lh2BL+cUftZ6HQ6XVILhLeCu9y+zWvZ1C8LiVcKrefORT7E/vr/UsdV1oraVjUkDyvPJMVJ8fNHYfKX0VnbedK72oYY+GzC7FKtmJ9/voqlZo+fPUwAC3rtcQDDzSOlYsRWn7C8Ex/utfTpY73adkHWS9zOcV0PvX1Jw05hgeEDajUnLdTR6yD1l1boZsGwD97/yHLL4vA3EC6NTcYqERRxDHHkVRlqtFzJElC66TFQ/CosowV8UJfw+7OTzur9tu9W1iU4jvo1q0bsiyz+9BuVu9bzb5D+xg1YhSyJKPWVWwBnLPZ4EP16ulXmTp/apX8IaMSoxCVIv6Otx5GPX16IrqLrDq0qtLjmWLyP5NR+6uZf2B+hX3D48MR3USCXSp2kldYKVBkK0jVG/8B1iSp2alIXhJeyV684PUCU9ym8ITTEzxi9wijrEcxu9XsSlspJredjGgn8tnqz8q07bm2B0kr8VjPx8q03a3UbBprDfbSrbQ9TrITRbZFVRpr1UnD/TRv2Dyskq3YUrCl3Dyt5nA0/iiyTmZk55HVGqddoGH7vKquIWqNGslNwk/hR4h1CDpv3T3JLWsuO87sAC/o5dDLaECS0lqJdZY1yVLlgu2MWapcBBd09hU/m85Fn0O0ERHdRQ5eOlipeYt5+Z+XEWwEPnnoE0a1HIVgJfD7zt9N9s9UZOJQYPw3O3XgVKR8ic3Rmystx9XrV8ELQh3KD4QdHDIYQSHw5+4/eXvZ24gOIi92fLFMv76t+0IanMg5UWlZKsuFmAuINiJN3Iz7QhfTIdAQ73Et/Vq157zTn/h2nu70NKK1yDebvinT9vqi14nyiMI72Zvfpv1WbTnAcO/PGzoPRHhm9TOVfq9euHEBgO6h3anvVB/RUayUj/LFgouQSpldUid7J8iCG+obJs89efMkUpHxaqrm0q5OO0SlWKEBS6fXMefkHKRciV+e+qVUW7BTMKKHSERC2XSpUYlRiA4ijZwbVVnGiugc2hkxWeRc0blam6MmsCjFJigu1uFo54ggCIh6EZ1Q8Q/xquoqcoaMQ7oDR+2O0vGrjpUuu3k+1mDRauJ56wH46tBXDVXATlQ/JREYAiBy/XORtBIxUsUPhw0nDYpe76DeZo3vLrlT5Fg1RW3T8U1m58Fcf2w9gigwLGgYzw5+lpeHv8zM0TN5Z9w7fPzox4zobL7rRDFP9H0COU1md/ruMm1xUhzKdKVRv77i1GyRutq1kMt2Mk5Wtyxd3kpvBCehSm4b57POI2VKdA7tzBd9v0CwEZi82HzLujGu665jlWFVUpWpqrg4uCDlSiQXVi3jwsFLBxGtRUK8Qnik/SMIosCvu36tlky1yZ+H/0SWZJ7r/5zJPv6iP1q3ygXbrTu5DoBBLW69lH1sfRCdxQrdEA5dubUtvPRIWet1RZyMOEmsayzeqd481PYhQ3qmAon9140XPMjMzQQPqG9r3K/RVmlL3YK65HjmkJSRVClZ/jlo8Gsd0sJ4OsliHuv1GFKRxI5rOzhcdBirZCsm9plotG+YMgy9r75K1svKcOSqoYx8y3oty+1Xx7OOofR7DeT33nrJoIDd7k9czKguo5AzZA6kHSh1/OdNP7ND2oFNkg0bX91YJf9fU3Rp1oX+iv5o/bQ895vp34gxYnNjkVQSwfWCCfMzKLYHL5u3yLuech2tl5ZARaDRdmeNM/m2pneRbwo3sc20LVOBsDIUZ/HZHV72nXQ7b/39FrKPzDCXYWUW1v1CDKn8Vh0ta1g7FG74nYfVqVrshrl0cukEXtRq6r3qYlGKTaDWq5ElGTulwYfLWrBGtpLL3ULMKcgxVEqSGnBs1jH66PqgdlczcedE3vvnPbPnvpJoyCQQUjek5Fg9r3o4pDoQq4ytdqGGxPREFt9cDGkQmh8K3lRoQTt2/RiyTmZoB/MC/Ro6N0R0EittdTxy+Qhvhr/JG4vLVmwyxv4ow8t1VKdRlZqnPERRpLtzd2QfmRUHVpQcj0uOQ/KUCLIz7SvbzK4ZeBss67VBnioP0UHEzeZW0EZ9l/oICoGLsZXbVlcVqch3y8dfa9iRGNhuIIE5gWT4ZTB/S8W7B8YoKCxA466hrli3SuffibXKmhyq5j966KrhQd81sCsjO49EypE4lHR3c8tWhsuayyhSFeWm1mvh0wLRpnKV7U7ePIlUWNpS1dCtIUCFC/biKH0pV+JMVuUVvxlrZ4AM34wxWBSV1krcct1Ic0wz+hzbfmY7gijQuo7p1FMT205EVIp8t6lykexHbhxBUkllyo7fiZO9Ew4ZDiR7JSO6ijwWUHZXqJjnehuUs9reEi7+HorjNcrDKt+KLKn6+b2N+RMXI4oiza0MPtXFC4Jtp7Yx78Y8hCyB9c+sr1TlM3P5dtK32N+054j1kUopVhlyBopcBaIo0inQ4Ad8Nt48Y9Xvu39HsBIY2WKk0fb69vUR3UWj7nap2anInjKNbKpngW0b0BYpT+JSpmm3mOTMZLbkbkFMEfn0sU/LtI/sPBJJK3Hsetlgt3MJ5wDoEmzat7kmKC7Z/uuB+9c4YVGKTaBDh6AXEAQBADuFHYIgkFdoOgdkcaWkXo0NkaRzJ89lfuf5KHIVrNOto9sX3cwKEInNNGwXt25S+sVQnMJqye4l1bgyeHLhkwhOAu91eI/RrQwviCUHyh/zuuY6YoaIm5Nbuf2KaV3XIPvei5UrS7v13FYEUeBkqnmRtlH5UcgZMg19G1Zqnop4f8z7SEUSvxy9tQX19/6/EUSBQc1Mb4ONa2+omldbqdmiEg2LFx/HW1WHAnwMAWnnYs9VaqzVh1Yj2on0aHArBc/CKQuRMiV+vPpjlYKZNp7YiKgU6Vi3cjlATeEkO6Gxq1qO8Espl5D1Mn1a9kEUReqo65DnkVflIK21R9by8HcPV9u9xBiHLh0Cb2jjVH6O0D7NKh9slyQmYZdtVyoDS5CvQdG5EH+h3HPj8uKQ8iXqq+uj8lSZlYarmE3HN5Hhk0FAbkCp/Krd/bsjOomsPbK2zDmHogyLlodaGo/kB3is92NIWRL7b1auvG6yMhnHbEezMtG0cW+DYCUgp8u8NuI1k/26h3VHSBU4nV+7QcXFls7AusatlbfjpHei0KawWvOpilQUehRSR1/HZJ8X+ryAIArM3TGX8PhwQ2pFLSwavqik6EpNI4oifz32FxTBjD0zKiy0VIzGUYM7ht29doHtkDQS0Vnm/Y73X9+PVCAxvsd4o+0t/FsAsOvcrjJtqw+vRhAFujWueDFTHqIo4pjnSIbSdIDg5D8mIzqLvNXxLRRWZROLOdk7YZ1hzXWprB94dFY0UpFEqyatqiVnRdR0yfbawKIUG0GWZWQrGcVtGesc7Qz1wPPVprdJdlzdgayXmdjz1lZb97DuHH/tOCFZIeT45fDpqrIruDtJKkhCUkllUuq8MvQVJI3EsnPLKntJJfy+/XdSfFNolNGIcT3GGao4qSQOJZi2oKk1aorci/AX/E32uZPuoYaiAKfjK/eyuJBseElnO2VX+KORJIl853w8NZ6VmsMc/Dz88M3yJdU9tSSY5ED8ASS1xNjuY02eN6zjMKRciaNJtZOqKTrZ8CD3d7n1XRQHpEUkV6609uZLm8vkW3ZzcuP5gOcRPURDlblKUry9N6J95d1WjOFj44PgLJgVYHInN9Q3IIuSoKqhwUMRbUR+32Han7U8fjj4AxHuEQxfN5yXfn+p0qVuy+P3/QaZpvSaUm6/Xi16VSrY7nrKdWQPmQD70gUzWjVuBUBUavk7RBlkoMxT8lDAQ4hKkSV7zV+Qf7TnI+RCmR8mls7l+0y/Z5AlmVWny27jXs28ilRgyJJhClEU8S3yJd813+zv4PjV44juIi3dync/KGZSz0lIWolRvqOMKhi308quFZJP7UbVp0vpKPIUZrkjeNt4IzgL1bo/1x5Zi2gj0rV+WX/iYrqHdUdMETldeJpHlj8CdvBx649LYgFqi+D6wTzq9Siyt8wT85+osH9cchyik0gDxwaAYbdCzBFJ1lbslqXT60h3Ssc9193kYqp7sOFddzy67Pe//9p+ZElmTJcxFc5VEYGOgYgexn2hVxxYQbxHPH4pfjzS03hmFYCGioboPfQGN6XbSNWnIuaIFd7rNUFxfNSKgysq7nwPsCjFRlBr1AiigK3VLR8gJzsnZFlGpTX9co7WRGOVblVSprYYW6Utf7/wN5JG4kpaxUUWsvRZiPllvxpvV29c0l1ItE+skv9oVl4W34V/h5Qp8ddUQ3oqpbUSp2wnUmxTTCqhO87sQLQRaetn+kV1Jy0bt0QqlIjOrpxV7YbWELAgOpWfaBzg2JVjiI4iYZ614wf1YvcXEZUin6wxVLe7qbiJfaZ9uduCtZ2a7Xq6QUGv73nL57J1k9bIkkx8duVyb0aoIxDTxDJW9heGvoBbkhtXna9WOotKeHY4UrZEyybmKR8V0cC1AYIoVMlnM98uHxfNLb/mSf0mIakltkaal23lTrLIQk6Tscm1YZ/1Ptp9145/9/9bpbHu5Gz+WYRUgc6hncvtV9lgu1VHViGIAr0CepU63qxBM2SdTEKu6SwQt0ekP9nnSSStxLaIbWbNu2DbAtT+atrL7cvkPW3i3wSrVCuuaspmFUkT0rDNta1Q+evo3xHRvmyRDVMsP2rIHjC6XfmuEyXjB3dk/9j95Va2LOa5PgYXinm75pk1dlUosi/CTTJvl66BSwMEhcD5mKpnW9l2yfA9j+9q3DpaTCfnTgheApKXxBPuTzCmW/WVP3N4Z9w7eCR5EOEawe6z5fvZ7r9k2FEI87/1nnDWOqOyrXihverQKkRHkR51TRe06BzaGalIIiKjrFHimuoaQoZQIzmjewQYZFh/fH2p46oiFZ8c/wQ5T2bR04vKHaNro64ICoE1R9eUOl5oW4ir3rXaMppDScn2GoqPqmksSrERil0k7Gxu5YS0Eq0Q9AJaWWv0nOTMZHSeOhorGhttV1orscq2IllX8cus0LoQe51xxau4qtPCHQuNtpfHpN8mIbqLvBj4YqlAsbaebRFdTUeX77pk2BYa1Mr86FlRFLHOsSZNMi8XKhhewmpnNYpkw2p13al15fbfdMbwQuzf3HQhgOowqssoxBSRoypDiU3BQ6C5S8WllGszNduNLMOioanfrVLbDnYOyLkyKWrzcxWnZqca8i2buF8XPLYAuUhmxs4ZnIo0L+dpniqPbIds3ArNe3mbQ7CfIdtJZV1DkjOTEd1EGjg0KDnmZO+ES6YLSfZJlfbLL1YQffW+nHrjFCOsRqC30/NpzKf0ndO3Wi4V56PPI/lKNLcxr0x3cbCdOZbAQ7GHkHVlLVVKayVyrkxakenfZ+SNSEQHkcYujXF3dscu3Y7rovEUXLcjSRI/XfgJKVti7lNzjfYJsQ1B76Uvxxp3kwAAg1dJREFUFQmvKlKhd9fjr6h4R2psZ8Nuzebz5mWhOJ58HClX4qE2pt0y7sTTxbwdqM6hnRFSBM6qKhdQbS5JGUmILiL1HMxTrIp/M9XJ732l4ApymnF/4tuZMXQGUoZEd213Zj18dwtuzR07F0EU+Pvo3+X2K/Yd7hx4a8FZx64OgqtQoSvVmrNrkCWZyX1N75oprBRYZVuRoi/9/NXpdRS6FuKj9zFxZuUY0WkEsiRzJO5IqePPLXgOvOFR30crdFsZ28Xwu9kbccutMTM3E9FNpI5d7bi83Ek9r3o4pjkSbxtfo7ttNUWFSvHTTz+Nt7c3zZsbf2D/888/tGjRgrCwMLp06cL58/d3LtCKUKvV9O/dn9G9RtOrcy8++OBWxR6FrECykpBlucx5yw4sQ1AI9AvsZ3JsV70rhfbl+3pJkoTkJOGuMF616IXBLyAVSqy6XLnUbGsOr+Ga2zU8kz15bkjpyN1xHQ1+sMuPGVfiLqZfRMqX6BJaOSd8DzzQOGvM9h06F30O0UGks1tnpDyJs+nlv2TOJJ1BKpIY2NZ4daqaoL93fwRPgddXvw7AyNYjKzynODXb+gvrK+xbWUpKPN/hW6gsVJqVd7aYv/ca8i0PCDKeOzOoXhAjnEag99bz1OGn6PB5B75c/WWZh5gkSaw8uJIBXw6g05+dEF1EOvuVb+2sDK0atQIqX5K42L+vpX9pi3XPOj0RnSuf2jD6ZjSig0gDpwaIosinEz9l16O7aJTRiBSvFIavG87mE5VPEwYwf7chqHFSt0lm9S8OtttzvmK/4lhNLFYZVkYVPNsiW/KtTLuDHQw3LJJb1DH4TLZyaYXgKVToJvDZys+QfCQGuQwymYFkbNuxCKLAor23LFt7zu1BtBZp4duiwutq3bQ1UqbEpZyK8/FqtBqyXbLxKvCq0WwIt9PWsS2yj8zBi1VLW1cexVkSQnxDKuhpoHVjg//21aSq5fcuzk9cR6pYSQqoG8DFVy/yy9RfKuxb07Rs0hI5Xa7wHriWdQ1JI5Vy6wj2DkYQhQrTDEYWRWKVZkVjP+PGg2I8JA/UjqV3Bnee2YloL9LGt/w4AXPxdvVGyBCIVd9KUXno0iFO2ZzC4aYD74x7p5yzDTT0bYicLhNZcOt5WmxJD/UpP1VhTTKgwQBEZ5FFu8q3bN8LKnxCPPXUU2zbZnrLrFGjRuzfv5+LFy/y3nvvMXXq1BoV8G5jY2PDopWLWL1nNefOnWPbtm0cO2aI1rRV2CKIQkm6ttspzl87occEk2M3cmyE6CKaTHgOcD31OqKtiL+DcWuJm5Mb3jnepHqksv6oeUqXqkjFB0c+QC6Q+eupslW9ujfvjpQlcSbDuGUhzToNh1yHSr9QGjs3RnQQuZpg3sN5x3lDNHGXpl1wzXMl0z6zXIX6JjexybQxK3Cmqrwz5h2kAol033SkfIkhHcpP5wS3UrNF62o+ICuzKBOpUCqjbLjggtbO+C6GMXZH70bSSDza61GTfWY/PpuFnRcSlB1EgWMBS/KX0PqX1oz/fjwbjm1g0rxJtPy2JR/HfMwNtxu45boxxW0Kcx6fU+Xru5OWjVsi62Su51ZsobydEzGG3LE9Qktve057aBqyXmblmZWVGu/wFUPy/+b+t4wDfh5+bJyxka/CvgIdvHHsjUqnXwQ4nnkcOV0ut/Tx7ZQE210uXynOU+Wh8dBQTzRuYXQVXMvNVXz2uuFaiuMDJnQyPNuWHDTtV6zT61iRsAI5XWb2Y2WrFBYzovMIpFyJg4m3lJJ9V/YBt66vInw0Pmb5Fa85sgbRQaRrXdP+sdXlhX6GwgS/7qv5qPozcYbncsem5gWvFv9mKutOVYw5/sS3U1sLDXPw1/ujcleVG3OQok1BzBZLvSfaNTYoyCejTQd0J2UkofPS0dS6qck+xTR2bozoVDoH8JbzWwAY1mZYheebi4/eh0KXQkMxF0nilU2vgB5+HWf+feej80HlqirZLTsdY4j7ad+kfY3JWRGvDn2VBmkNCK5Tcd2Du02Fd3OPHj1wdzdda71Lly64uRm2Szt16sSNG6aTWD8ICIKAjYONIS+xTodWqy3JQOFgY0gon1tY1iIXL8ebzF9bTMs6BqvVngumX2Znog0PwEYeplO4/P7471AI7xx5x2gamDt5+IeHwRsmeE8wWte8OHAlzzWvjB9sQloCgqdAU4eKHwx30qa+YYVcvBKtiDM3ziBLMgPbDqSVZytEF5HDlw8b7ZuZm4nkIdFQ2bDSclUGNyc3GqoMc7jkupgdiFDPqh46d53Z0dHmkqvLRVAJZY572xpyFeepTGdHuZ3rXMc2w7bCXMIdgzuy+rXVnJx6kvG247FT2RHuFs47Ee9wyuEUol6kl7YX20Zu49Cbh3h5+Ms1+pI0Z5vfGJGZkUiFEu2DSj/oG/o2xDrVmkh95SzP566fAyhJ53Q7g9oPYk7HOaCEJ9Y9QWJ6otnjRt+MRuOtIUgsf5v6doqD7S6klp85Yv2x9YhKkc71jVvufex8EJ1EkxklYrJjkAolwhoZfDF7t+yNlCVxMt20IvH12q/BC4Z5DSt3saqwUpTxvb+cdhmpSKJ78+7lXlcxHf0MfsWbT5ZvoV9/fj2yJPNUr6fMGrcqtAtsh5gscl5d8zulkemRyDq5Qn/zYmyVtsi5MqmaqhVPMtef+H6ge4PuiLYiaw6vMdlHZafCRV/6Ode9WXdkSeZqqmmDzZJ9SxCsBAaGVLwTWfyuuz3b0oX0C0h5El2b1dxirKV3S0R7kf0X9vPmkjfR+GnoZdWrUjEcbX3bItqLbD+9HYCraVeRJZluzaqXIaMyuDu7s2nGJnq26HnX5jSXGl3iLVy4kEGDTPud/vbbb7Rr14527dqRllb+Sy559mziH3+iRv+SZ5u2XBQjyzI6dIzpPwZvb2/69+9Px46GFbqzvTMAKk3pVak5+WsBejQzWK1OxZn20SzOURxa1/RWRhP/JrzY+EVwh/Hzy39wvfz7yyR4J1A3tS7vjjddN75rva6I9mXTJK07tg6A7k3Me1HdTs/mhhv+zHXzfNviC+Mh0+DLN6KNIXvBmpPGH3brj61HUAh0alBWSalpZvafiayT6epv/sOtXZ12iNYiW05tqVFZVIKqVInnYhq4/ReQdq3izzo8Phy8oLmjeT6sAPY29rw7/l1OvXmKX9v9Si9tL75v8T3nZ53nx2d+rJFAElNUtM1vjBQpBUWOwugiprVza/CCo+HmZwiJzopG0pjOijC041Cer/s8spvM8N+Hm70Ymrd9HoKVwGMdTOfCvRNzg+12XjEESY7pZDz4qThX8ako48+jVCm1JLcrGBbP/hp/8t3zjV6fJEksjVmK9H/t3Xd4FNX6wPHvzG7apvdCCKH33nuRYgEUEa4FFbsg1p+9XrmKHXvDAirFjoiAgHQB6b1DOul9UzZb5vz+WBOM6SFhN3A+z+NzLzuzu2fOTHbOnPOe92RrvHD9CxW2/9vI6JGoBrVssmKqlopLjkutR35qG1d8rPgYaoZK28i21e53vvp494EQ2HSwbqniapJSkgJ51Cnvr3uJO/lq7cOp/qm28cTO4KZh9r+blYcr/53Nzs9G8VWI9CifN93f2x+RJzhrqvoBdkPMBjSzxvXDqs7mUGpkV/uiVv/MtpTplom30btBOwnGdbOHu3297WtWFK5Al6rj3dsrj9uvyjV9rgFg1QH7hONkUzIiV1S79PmlpMHO1oYNG/jiiy947bWqh07vvvtudu/eze7duwkODm6or25QxSXF6F30/L7hd5KSkti5cyeHD9tjllz1rgiboEQrv1Lbos2LUFSFyztV/0TZq00vtGKNUzlVp0GKybSnW+nVuvo4pBlXzaBNdhvSw9KZ/e3sSvf5dNWnrFfW45bsxtIHK+YE/adbR9yK0AS/Hiy/RPHWmK0ITXDNgGuqfX9lOjTvgFaoEZNfu+U0CzwL8LfYRx1G9xyNVqCxJ73ylG4bT20EYFL/hlu0oyojuo/g+9Hf1yks4Kre9jCL9cdqn0+2NiwuFjw0jwqvdwizD0Mdiq85VdfCzfaJKVf3rF/atEGdB/H+ne/bl7m9APwUP6yetZ8Yp2kaZh8zwVT+G3P7sNsB+HJT7XNJp1nSUPPUahts942/jyv1V2ION3PFu1fUKpZ+S+oWtBytzktih6vhNU62O55/HC1Lo0NU5UOUHSPsMaqHEyqPySzxrJjx4LJWl6G6qyzcWHFy03vL30OECsb6jq3V6l13jL7DHnt/aBlWmxWzn5lQpfaTknq17YWWrXEot+pr/mzmWfsQuL7uI111dd8YewjFvI0Ns7RxKaOrEc+Sui1V76/4Y/Oy1fm76hJP7AxahbeCdPtKspXZdHgTiqrQMaRiPLah2ECeruqJdolqIh5ZHrVqLHZo3gGtQONMvj1k7njCcdQAlQ4+DRseMKrHKLRijT3ue1DcFF4f/Xqd06gN6DgALV/jQJZ9VMPoYsTTVLfr62LWIEnpDh48yJ133smqVasIDAxsiI8k7OmnG+Rz6sposg8/G1wN+Pn6MXLkSH7//feyiYY6TYdNtaFDV/aeLXFb0Pw0pgypOn8t2Hta9Hl6MkTVveTJhcloOo2okMqXOf2nxbMWM/DdgXzn/R1Xnryy3ESCTQc38V7seyjFCsvuWlbjTap1RGvUTJXjtvI/LmeKzqBYlApp5mpDVVVc813JUqpOOF72PclnUH3VspuXqqr45PuQZaj8vSfyT6CZtUbv/SnVqUXdJiH0atMLbY3G0YKGXdlOGAQ+Np8Kr3dv2R1SazchbdvZbWg+GhMHTGzQsjWWcEM46V7ppOemE+IXUuP+h2IPoXqqtNFV3hAa0mUIYrVgj6X2ObQL3QvxM/nVuN/rt75O0ntJHAo/xHXvXMfPj1Q9rJuSlUJhcCHRudF17k3qGtKVJJJYf2A9l/ep+DCuaRoFvgWE5FddXz1a9oAkOJ1xusK2xIxEVB+VFmqLcq9PHzWdhUsXsuLoCu654p5y37fg+AI0d42X7q45FzvYlyR2SXfhtP40W49sRXVX6ezauVbvLRViDiHdNx2rzVpp42DB+gUoOoWrOtc8F+B89WrbC/VnlYNq9WEtdWEymxC+gvC8uv3+NvNsRppnGmczz9Z6IQ1N0/hyzZeobipDWly4ofTz1UJpQWxQLHmFeRXCwXbH2EdB+rXpV+F9oS6hxPrGVnrtHIo5hBKk0Lmgdtejqqq4Gd3IUu33q5932P/uL+vQsB0Hep0e91x3zOFmOuR0YGzv2mdT+WdZfQt8yfbIxmwxo/lphOWF1fzGS8R59xQnJCRw7bXX8s0339CuXc2r7Ti7pOQk8vPy8fbwpri4mLVr19Khw7mnPTfVDUWnYLOdewpP0iXhke2Bp0fNT1tBBFHiU1JlL1K2NRvVqNbqJmlwM/DhlR+CAncuvbMsNi8hLYH7/rgPBMy7fF6tfxRbqi2xBFtIz7XHommaRpFvEcG2+vfqB6vBWHwtNfaardpjH8rpH31uMkn3gO6ofmqF2e6apmH0MhJY0jAPYI2hbAUil5ofCABe/+l1Or/dudoYcWOREdWg4u9eMeVZt5bdajUhTdM0MgwZ+ObVPj7a0VoG2OPrd52s3SqHGw7b4/r6Rlc9caSN0gZziLnaSa+ljEVGFD+FCI/aLV6zcNZCQlJDOBV4ivs/v7/K/T76/SNUF5WpPabW6nP/qabJdhsObED1VOkZWvVyyR1bdESzaCTlV5wHsumQPQSgS3j5EJuwgDBcM1yJFbHlXv9s9WfYwmwM9xheq9/BUt28u0EwLPhzAQBD29ctTKt/eH9UT7XKzB8bYjegmTRuGFH1BOiGVBpCUZssFJl5meWWka/MrhO7UF1U2gTWrae7dVBroOrQGE3T2Hd6H6/++CrXvX0dfV/pS9ePuvJp9qcIq+D6wTWHDDiLka1HorqofLu5Ys7w6uJlW/u3RnVV2XWi4u/Koj8XAbXLNlQqVBeK1c+K1WZle/x2NEvjdDyMCB2Ba4orn99Vv0WIADr5dUL1V/lm/Tf26yug8UdSmooaW1433HADAwcO5MSJE0RGRvLFF1/wySef8Mkn9jRCs2fPJisri5kzZ9KjRw/69Gnc1Wwa29mUs9x+ze3069OPvn37MmbMGMaPH1+23eBqj+sqNtszUByNP2p/ovSu3RNlaUaGk0mV9+gV6YvwsFQcHq/KkC5DmGiYiC3Mxq0f3UpRSRGT5k8CX3i07aMM6lz7NGpj249F0Sss3GAfGt18aDOqp0q3oJpTJFWlS3AXVA+Vlbuqj63dGW/PFnB5r3O9XhN62mft/vBX+UwBe07tQfVR6RxQt16lC621Z2uUIIXEjKoXSCj166lfUQNUVu9dXeU+pUs8h3hW7P2r7YS0jQc3ovqq9AluOn+nnZrZe+mrGub/t32J9qwJY3pUnc3huh7XoegU5q2teah769GtKKpCu6DaPfSrqsqKh1fgnuzOBt0Gbn7/5koXclmXsA4tX+OmkbWPJy41qvuoKle20zSNF1bbY3qv7Vv1YhV6nR4lXyHDXPGa2RNn70Uf3L5iHH1Xr64QbM+vXOrTA5+i5Wu8ctMrdTqOG/rbG6s7bTsRVsHYnnXr+bpuwHUALN+/vMI2TdNIcUvBK9urTvG456M0hKI2WShu/PRGZp+ZXW3Gkr9O2TMf9WxR9cNNZbo0tz/MHEqoPLRkwtwJ3LL1FhYVLuK433FMLiaCC4IZVDyIV7u8esFG4BrCjcNuRNgEa46vqbCtunjZnlH2Ov3r5F8Vtv2V/BdaocaE/rXPHNEuoB2qm8rO4ztJtCXikuVS40Tm+njrtrfY8+Se8/rscV3ssclf7bNnoyqtC6kWjeIlS5aQkpKCxWIhKSmJO+64g3vvvZd7770XgM8//5ycnBz279/P/v372b27don+nVXrTq35ac1PHDx4kMOHD/P888+X2+7jYR+6LrHa44oXb1kMwMTutXsirGyW6j9pXhr+urotfvDKLa/gn+LPEd8jDJ87HHO4mct1l3Pb2NrlPS114/Ab0Swa687YVwj6/YB9FnJpcH993DnqTgAW7VhU7X5njGfQcrRyq6uN6z0OrVBjd2r5a2r5HvsNcEznxlm0o6EMaml/IPl1x6/V7qdpGjle9gwAu2Kq7g09nWIf5m7mV3nPf20mpP2w0/6Acf3AptMT1KeNvQFf2TB/ZWILYtHytEozrZS6fvj1aAUam5M21/h5pWmberes/YqO7q7urJixAp9UH/b77KffO/3K9WbmGHPIC8wjojiiXj32pZPtUrSUCtumvjuVvPA8euT3YEiX6ofB3c2VXzOnsyvmdi37/H72nu0FmxYA8M26b7CEWxigG1DnG/XYXmPRcjVUHxUlW6lTLzPYsz5o2RqHcys+MG05vAXVX6V3YO3P2/nq1bZXrbJQnEo6xVn/syiqwrz1VT+YHUk5ApxLi1dbfdvZR0lOZ1b8m/l207fEB8bjl+LHE82fYPPkzRx69BAbn9zIp/d+yvj+4yu8x5mFB4ajy9BxxlwxBabR1YiXyavS9w3tbK/Tw8nlr53S0TS/PL86/W32a2UP0Vh7cC2WQAvNdY03+fh8XdXvKrQSjaxA+0hmaV1IckW7coQQCJ1Ar1T9h+Dh5oHQBFbNPvFn29ltaEW1f6IsnaVaWUaGxIxEVINKmGfd43u+u+s7RK7AFGGiVWYr3pz+Zp0/w9/bH/dMdxKwDynvTd2LVqxxWY/6x0V1atEJNU3liOlItfvlueXhXVz+aV6v0+Od502Ge/merN1nd6OZtUpjKZ3J1QPsE9m2xWyrdr/Ve1ajetv/FE9kV1wqtFR8pj3v6D+XeP6nmvLOAuzL2oeWo9VpBMHRWke0RivRSCqoXbrHHF0OhsLqewb1Oj3e+d5kudUc3nIszZ4Rpq4pi0L8Qtj21DamuE3B5mnjiUNPcP2711NUUsSnqz9FdVO5umP9JjtC5ZPtHv/qcU4EnCA4NZiv7quYk/zf/BQ/bJ4VJ2SlWlIr5HYtdUWfK9DyNHak2cOa3tv5HlqBxms31T0/taqqRJTYw1KCtNqtIPdvISUhGH2NFVYpXLJ9CQA3Dqo6F3dj6O3du8YQiqd/fBpFr6Dla+zIrnoxlISCBDRj9Q94lWke3BytUCO5MLnc62aLmTk75iAKBD/c/QPTRk2rNo1oU9HapTXWICup2ecyspjMJvCDMNfK76etI1qjFWjEGePKvb7hwAb7aFpI3UbTLutuv0+uiFuB6qIysEXDLWLU0AxuBtyy3VBdVTRj+c6oS51sFP9DUUkRiqrgpnOrch9FUVBtKjbsN5I0tzS8c71rnUaoXWQ7tILKMzLsO2MfRmsVUP3qOZUJDwznneHv0K+wHz899FOd31+qi1cXCIbDcYdJVVJxz3U/78Uxurh3QYQKDsdVPvydmp2KEqjQ0rNibuaufl1R/VX2njr3EHFWnMU1y/WCDYnWV/Pg5ogswenC6ns4f95tn5Sh5WkVlgr9p+Rc+w2udVjrSreHeYSheqtVxiWbzCaMfkbCSprWpApVVVHzVbKt2TXuW1RShOavEeFac/xve+/2qAFqjUs0JxUloeVqtZrkV5nnr3+eXyf9il+GH0f8jtD/vf58f/p7tEKN28feXq/PBPtku3+ubPfF6i9YaV2JS4oLyx9YXqt5CWGGMFQvtWweQanKcruWUlWV0OJQ8vzyWLJxCaYIEz21nrVeFvnfxraxh0y096tfCrC+4X1RPSuGaO3N3ouWrdXYW97QZo6eCVQdQpGZl8lR16N4pnrSztIOc4iZmJTKM/Rkk41rQf1+f3UFOrK18n8zj371KCJUMMl/EmEBTet3oDpj2o9B0Sss2byk7LVtR7eh6BXaBlYdCuJS4EI25euovqNpYQFhaDkaRWH2lK3X9q86dMkZtHKztzPqe31drGSj+B8KTPZhxNK44aq4KC6g2jM8qP4q3f1rnzi7dJZqJhUbLseS7D1S7SPqd3MY02sMX8z84rwmUJWm6Zr3xzz74hhu0fX+rFLTBk4D4LN1n1W6/fc99jCNPs0rPpmP72Efyvthu/2HKq8wD1ugjSiXuvWcOEqAOYAC74JqJxoezD2Ilq0RWhxKiXfVkzDTCuwN5n8v8VyqdEJaVbmKl25bimpQGdK86cwsL2WwGChyqXrVqlKbD21GdVHpFFxztpBhbe15w3/Z8Uu1++WqubgX15xirDqtI1rz55N/cpPnTWjuGpZwC8H5wef1YPfPyXabDm5i7pm5kAu/3PZLrcMQKrtmMvMyUf3VCrld/2lEixGoBpWX9r2EVqTxxo1v1Ps47rvqPrrkdeHJq5+s1/unDLBn/Vm+71xccWFxIYWBhTSzXPjUYn3a9UFNqzqE4pklz6B6qszqN4sb+96IolP4aPVHle5r8bYQqNRvQrG3zZti13Orr8akxLDOvA59ip7ZN1aexrOpun7Y9WgWjfWnz0083XnaPk+ld3TV4TOBBGL2Kp/WcF+2fTSttoul/JNXsReKqqBlV50K0VkMb2NfR6C+19fFSjaK/6F0UY7SuOGqGFwMoMBrq+3DhZP61C1XbogagtXXWqHxcybT3mNVuna9I0wcMBGtUGOdcR2KrmEWxxjXexxajsb29MoXS9h2xh5eMLZ7xUk2V/S5Aq1IY2eK/Qdu+Y7lKHqF/lG1W/LU0Tr5d0L1Vtl/Zn+l201mEwX+BYSbw2nt0xrVq+plsbNLstGKKi7xXKpDxN+5iquYXLP8oL3RcMuIW+p4FI4XoA9A89FqzGKy9YR9BcSB7Wq+oV094GqETbAtrurwFk3TsPnYCNY1TF71J697khVTVtAxpyMvXvnieX1W6WS77SnbmfnHTBDwybhP6jTUXnrNHEk8F960+bA9zrpzWNUTWW+77DaETaAGqHQu6VyvlI2lDG4GljywpN5DuH3b90XLKZ+veOHGhahuKqNa1W7J6IbWy6sXhMCfh/8s97rJbOJP05/oUnXcfNnNTB48GS1XY0tKxVCLM8lnUD1VWni3qLCtNoLdglF8lbLwmru/vhvFXWHOZXMcujRzY/D39sct0414cW5p69J47GFdhlX1Nlp4t0D1OjdaVPp7XN/RtGZu9oewoJL6jZpcSFMGT0Er1OgT3nQmXV8IF9dfxnky28wITeDmWnX4BICXuz1wP94nHs2oMbZX3WZMt/Fvg+qhVujRSy5Itufebea4mb96nR6/PD/UAPulcU2/a877M1VVJcoSRWFQIdn5FYfAT+aeRDNqdI6ueBN2dXHFK9eLVFd7rNj64+sbrFwXwqiO9pvyb3t+q3T70m1LUT1UBjUfRO8W9h6NqpYBN1qNKMUVl3guVbrgy6n0iovDFBYXctByENLtvZZNTaRXJKpbzaEOR9KOIKyCkd1G1viZQb5BKFkKcSVxVX9e3BFUD5WWvlUvu15X0WHRfP/Q9+e9xGnpZLvc8FzwgcfbP17nUIHSB/B/TmIsnVjYv03VD57Ng5ujz9CjFWu8fv3rdS98Aws2BZeLK151bBXCKrh15K0OKc/My/4OodhQPoTi5R9eRvVXuaG1PeuGqqpEmaMoCC6oEMKy5Yi9odwlovYrT/5TC98WKHqFg7EH+X7z96SGpNIiuwVX9K161dmmrJ1HO7QgjbjUOAASChPQ8rRqU5J2jbAvYV5a16W/x/UdTesUYh+hOp+MTRdKWEAYO2/byZxpNa/0eymRjeJ/sCpWVFvNVeLt4Q0CVHcV/wL/Oj9194m2P5ltPlJ+5nuWJQslX3H4U3zfEPvMZS274RbHmNhpIqqrymdrKoZQZOmy8DB6VHncnXw7oQaoHIo5xPG842g5Wp0X03CUK/pcgWbR2H228qwsKw7ZMxLcPOzmskmYpSnF/q1IKcLFXHGJ51IdmndAM2ucNVZcuvTmj29GCVKY1nJaXQ/BKbQJtufR3H26+uw2SSVJkEOtlywNE2GY/ExVrgy39bi957lbM+e8yUWo9tjpSe6TuHV03RuApdfMP3MVn8g8YV/WvFP1y5q/MeYNHm/zuFNM0imNK/59tz0U64ztDC4ZLufVg31e5Wnft0IIhaZp/JL8CyJT8H+T/q/s9cndJqO6qHzy+yflPmN/wn4ABrSr32hd6SqXu0/v5qW/XkIUCD6/rf65bZ3dFZ2vQFEVFm22ZzrKUXNwL6o+7Km0bkvr+nxH024bdRteyV7cN/a+er3/QvP08HR4e8PZyNr4278zT9hsNnr27FkuR3EpVVXh71Hc3sF1T/czqpu99/DA2fIxZ4W6QtzN5xe72BBuGmLPmxpQ0nCzkm8ZdQtascbqM+Xz8BqLjIgAQXO3qtPXjO9mPwffbfuOPM88/E11S1nnSN4Gb/TZehItlecqPlZ4DDKgbWRb2jdvj2asellsi6sFD1F1DmtVVVHyFTIt5ePVl2xcwkn/kwSmBPLEdU/U/2AcqEuUvbfs6NnqVwgs9CjEz+pX68/tEdoD1ePcZLV/O5hkX51sUAfnzNbx7g3v8mDYg7w0rXaryP1bZddMckky5FJjXPKYXmPq1RBvDNf1t+cr/nXfrxxPOA4h0Mng2AfnXl69ECGiLITi45UfQwiM8R9Tbt7HLaNuQSvQWBu3ttz7z+ScQTNr9G5bv5RyPVr2AOCTQ58gQgVX+13tsIeEC+G6wdehlWj2FWZLw57U6sOe+rbvi2bWOJ1jHyk5XnT8vEbTWke0ZvtT250+nliqmmwU/62opAhFUXDX2Rul7777Lh07VlwvvVTpMs9T+le/tHNlokKj0PI04griyr1u87Lhp/rV+fMaWt/2femQ04F7+t1T88615OnhiV+OH2meaeVSJ63ZuwZFr9Azouo46gn9J6AVa6xJXIPqq9LJr2n0EpcKV8IxB5gr9EbmFeZhCjTRXJx7IHAvcC9bKvTfhIfAR1d9vLuH2YMC/bm8s9n52by892VEvmDRndXninZmpXlXY7Njq9wnJSsF1V8l2jO61p97RXf7UPLqg5UvmhKTF4Nm0ujasmvtC3sBtY1sy53j7jyvz3A3u1OoKyz7d4FbAd7m2vW0O4v+Hfqj5WgczDnIVxvtqeiu7eXY2f//DqH48vCXaPkas68vP8nN1cWV0IJQsv2yKSw+dx7SLGmoeZWnxauNnm16ImwCW5gNfYqel26q34NTU+Hp4YlHlgdJuiQOxBxA9VBp5Vd9Jie9To+aq5JmSSMzL5OSoBJaqg0XKiU1PbJR/DdjsRGwT/pISkpixYoV3Hln1Tcbb3dv2me3Z1Cn+vUgeRR5kKPLKft3em46qqdKuME5nuR/eMiew7IhjWg+AtVb5bvN35W9tuWEPZZrVJeqJ8S4urhiyDFQHGGfSV0ap9tU9AztieqmsnZf+Z6gbzd/i+qqMrL1ufjXUF0oNn9bpQ1o1aAS4F59772/zh/N69xktGmfTkMJVJjVZlatl/t2RiF+IWgFGilFFRerKPXH/j8A6N6s9tlghnUdhlaocTDjYKXbM2wZ6PJ0F/UQo7/OH5uXPcVkYXEh+EGEe+2WtHYmpXHFfyb/iVagcfXA+ueAbgj/DKFYum0p5nAzvZXelYb2XNXuKlSP8uFlhe6F+FiqfwiujrurOyJPIGyCl0a9dFFfw6U6+3RGCVL4bpv9HtO9ec2/BT5WH4o8ili8aTGqi8rotqMbu5iSE6t/7q5GtuX7k2QmVr86V10FNfdi6NTK01kVW4pBtccL33v7vbz++usYjcYqP8vgZuDHh3+sd1nC9eHE+MZgtphxdXEtm3TXwr9+M42bgnvG3MOyFcv4ad9PZUvbHs06iuajMaBj9XFznbw7sZe9aBaNCf1qv/SmMxjXfRy/7f+NPw7/wVX9rip7fc3xNQhfwbTh5x4+OgR1IFFNZPux7eUmYlW3xPM/hXuGk2JIITEjkZW7V5IYkkiztGbMuHVGAx/Vhacv1JMrcqvcviNmB7jCiM4jav+ZOj0eeR6ku6RXut3kYSKw+OJOWRRhiCDVM5WUrBQOxB5A0Sl0CG56w799wvqwWllNtms2/pn+55WasqH09OzJHq89vLjlRTQ/jZf/83Kl+9059k6+/OZLlqcu56GrH8JYZETxU4jIO7+Hk35u/dCX6Mv97lzMJnafyN4ze1mVsgrCarcSYKRHJHm+eaw8vhItQOPG4Rd2sRfJuVz8j461ZLaZETbB2tVrCQkJoXfvxl0atF1gO1RXle3H7GnKSlMilaZIuhhFhUbhmu7KKe1cdoQ0kYZrrmuNN7DLu9hXr3PJcqnzUrCONqzrMLSiir2Rp82n0WXoysX5lS4V+ufx8qmcYlLtccYRftXfJFsH2mPh/tj3B++deA8tS2PxvYvP+xicgZfNC5ObqcrtJ3NOohXXPQaztUdrRKAotxoW/J2v108l0lB1vt6LQXRANAB7z+wty+3ap1XTS9NUmq9YdVEZGO4cq4nNuMz+MGoLs9HK2IrmwZXPnfD19MUvx49Uz1TMFjNbj25FURXaB9UvZ32p+TPn89mMyvPDX4wm9J+AVqShhWloRRodmtd8P20f0h5FVUj0ScQt063ei9BIFwfHP0pXoaoe3fMhhOBwWuWrqqEH1aqydetWfv31V1auXInJZCI/P59p06axcOHCBi1L/9b9WRO7hj+P/8nwbsM5k3EG3KBHqx4N+j3OpqdPT3Z67mT70e30btsba4CVFrk1945fPfBqXjr8Eh3cmt5Dg6qq9t5I3bneyJSsFGzBNtrnlb/pje4xmpdiXuJQSvlcw3EZcQBEB0dX+12dIzvzw5kfePPImyh+Ck+2ePKiWMYV7HlX83zyykZX/i1DZOCS51LnYeLBrQZzNOcov/z1C/deeW/Z66VpmjqENL1rri46NusIcfYH86NpRxE+guFdzi9dnCP079Af7XcN1V/l1uHOMQGwf4f+qL+q2AJtzL6m+gUzRrcYzc+Wn1m0YRFJOfZsIL1bNW7nzMXG1cUV71xvCg2F6PP1tfot6Ne6H0uP21OxdTBf3H/rUs0uuZ5iF82l8v+sLgQbgnnllVdISkoiLi6Ob7/9llGjRjV4gxjsifeBssZPkjEJzVK7J9um7LZhtwEwf/N8Nh7ciOqq0i205nRXBjcDq6as4qsZXzV2ERtFC7cWiEBRtgTzwk0LUXQKYzuUz3Ed5BuEyBUkFCWUe710iedWYdVPHOnZ2j5hUQ1QaZPTpsHjwh0pyicKRa9wIKbiSmGapmH2MROs1H2RjWv6XwPAltPlF1DYE7MHgL6t+9a9sE3IP3MVJxUnIfJEk32Qam1rjWuKK12i65fbtzE82e9JJntMpmeb6hdlmnH5DDSLxo8Hf+RYmn1106Gdax7+l8orXWE2gNpdw4M7DUZoAoAJ3ZpWaJ7U8Jy2p7gxKIpC+/DzG45qKEG+QWjZGokme6quLHMW5OMUcXCNaUiXIYjVgj2WPQQdtQ9TDe9Yu16puqzU5WwGtBjASeNJlu9Yzm1jb2NjzEY0X43rh11fYV9vkzf5bvnlXksvTAdfalzYJTo0Gq1QQy1S+WbmNw16DI7WLrQdG7I3sD92P33bl2+o7ji+A9Wg0lZX97zaUaFRiEzBafPpcq+fyDyB8BX1nkzbVLRt1hatRONswVny9HkYiuu/9LSj/fp/vzq6CBXcMOKGWu0XFhCGZ4YncR5xBBQFoAlNDuXXw+S+k9l2eBstvWuXRcLf2x+RKxDugkmD6rY6rXTxueR6iutixIgR/PZb5SuRNQQvkxd5LnkAFOgKnCJH8YXQhjaUBJfwV/JfaGaNkd1rXn2sqZvQx94Dsfm0fcGWBBJwz3KvdMnmSPdI8Icc47nsJNmm6pd4LqWqKk93fJrF1y6u9QIWTUVp3tXjKeWXwY5JieGeFfcgrKLOS66XCrIEUeBTUG4Z6eTiZESuqLHOmzpVVVGM9lzFmp9GmEv9lriVzt+QsCGo/irZvtm4F18a94OGNrb3WG4w3MD/pv6v1u/pQAfaFrfF3VXW+aVONoodqJlbM/C3p0GyGqz4KX6OLtIFMbnHZBS9QnpQOvoc/SXxQ9QhqgNajsbJvJOcSDwBwdDRs/I82J1DO6OoChsObih7Ld+WX+0Sz/9008ib6NrKOfPqno9ebXshNEF8bnzZa6eSTnH1oqux+du4PeB2xvQaU6/P7hrUFdVL5a9jf5W9lq/Px9PUtCZ11peH2YMCvwJUF5W2gY5bZv5Sd9+4+xCaQDWoBOvqHgok2T095ek6paD86eGf+OWRXxqvQFKTIRvFDtQxpCOKXmHFrhWo3iohHtWn27pY/GfYf9AKNBS9QrC4dH74/Yr9yPXIZfEWezaIq7pWniZpSIchAPx1+lwDrVgprnaJ50uBwc2AyBeklaQBcDT+KJO+m4TmqzEjdAaPTHqk3p89urM9N+mKffZlt602K5qfRqhL6PkXvAkI0AWgGuy3g97RcnKXo7SOaI1rmn0SaSvf6ucPSJLU8GSj2IEGtrWnDfpxrz3fcbRftANLc+G4urgSYrQ/AHQMrHrVwItNO992qP4qq+NXoxVrVcavDe0yFM2icSzjWNlrFlcLBtF0Yz0bimuxK0bFyIEzB5j601SEt+Ch5g8xa8Ks8/rccb3HoZVo7EmxT67bc2oPqqtKK/9Lo2ES7nkuLeCIriMcVxCJvn72ePlukTVPQJYkqWHJRrEDDe86HGETHDfbYyTbhTV8GjpndXXHqxGa4MruVzq6KBfMsDbDACiMKMQrx6vKsBF3V3fUHJUU67nV24SHwFt/ccUI14cvvli8Ldz4640IT8FjLR/jrsvvOu/PdXd1xzXblWRhz/Kx/YQ9f3iP5j3O+7ObglaB9sa/lqc16ZUPLwYv3/AyA4sHMn30dEcXRZIuObJR7EDeBm/IARFqTwfTvWXtl6dt6h66+iG+H/U9V/S9wtFFuWAm9J+AsNnPdTe/6nuB/G3+FBvsy1qXLfHs1jTTZDWkMI8wVE8VPODpdk8zfcz0BvvsFi4t0AI18grzOJxsz2c+pNOQBvt8Z9axmX3Exr3o4o/vd3ZBvkHMu3feJTHXQpKczcWd/6sJ8DH7YMSIsAqnyq15IXRq0cnRRbiggnyDULIUCIFr+1xb7b4tvVqS451DXGocGXkZAIR6XRrxrdUZ3WE0h48c5r99/8uUoVNq3N9iKmL7J/fT7qr7CWvbo9p9+0X140zRGZbvWE68MR5NaLSOaN1AJXduvdv0hhguucld6TGHOL70TVR3L9z8IzAENcc7NBq/iNZ4B4aj1HEhGEmS7FJO7uXE4qcJyD1ACW6U6L2xuvmDIQi9TyhugZG0HDKZoCjnWptBNoorER0djbe3NzqdDr1ez+7duxvtu6IMURzhCMIoKl2lS7qwTAW5ALh6eKE2Qs7oKCWKuJw4xvUeV+1+PSJ7sDdvL+sOrMPT3Z4BoaYlni8Fd467kzvH3VmrfXOSY4h9fTjD/PLZ9eE6wt6Jq3b/iX0nsmTTEjYc30CWloWLse6r4zVV0aHRtMtuxy1DbnF0US4IY1YKe967lT6WvxjmqoARyABOntvHZBWcKjCQ5dkeQ4dRtL3sZvwjLo0Yc8ku4cBmMk/todd1Dzu6KE2CZrOy98e3sP41jz7eGYQqcBQPvCiiGbkEKPG4WxTIArJgp81K0M0vOLrY5chGcRU2bNhAUFDjJ07vHNaZI6YjuJncyl4TmkbamYOc3f8HhoBmdBj5H9lj0ciOrv2G/JUv0s8nHVWxpz6zagKzDSyagtkGGWY3ctRALD4tcA3vhH+bvjTrNgyf4NrHYH4781tyC3NrbGyN6DKCL7d+ye743UQHRAPQIqjm5bCdkcVUxNE1X1GSn4GLwQ8XTx/cvAJw9w7A3SeQwOZtG/wBJGbn76jf3khnLys7coPo75fF7u9eo89/nqjyPV2iu6D9onG8+DglXiWEFDXtbDB56Yn4hjSv1b6qqvLTwz81cokcz2IqYtsHd9MpfTkjDLC9OIygq97E1dMHY1ocxZlJlOQkY81Pg5IUAohlkLoP1zP74cxcTuW5kOISjc/AW+l+9X2XxO+yqSCXnfMexjfhd9wVK3o09KqGXhG4qvZwsKNKezrN+Irg6Itn4vTWTx6iW8KXRLkqbNq1mAHPr8PN08fRxaozoWmc+WsF5sJcNM2G0GwImxVhsyGEILTTQMLb9ar2M9JjDnHitw/Qx67HUxRQrBgo0fugufujeIWg9w3DkhlLq5zN9PHWyHCBP7VetJoymy7dh5UrizEnjezEExhTY2nbzfmWk5eN4nrSbFYOrfqCDiNvwMW9/lkBBrcfzPcHvqe5tYRNT/TDt+QsUW4FhHlAaQr9lN9ncEppjUePa+k68T7cvfwa5Biqkx5ziKy4I9gsJjRLCbaSYmzWEjSziYgeo4nsOrjRy/BPJ7f8TNbPT6IKK8WekehC2uET3YuIbsMJatGx7OZkKsglLzUeY0YSRdln0bm4E933Cjz9Kw4LC01j389vw5/v0Msvnzx32GzpCh6BYDMDFsCCggVFlGAgkygllWbiLGrKdkj5ArZATL6OJH0rXDqMof3YOwiIbFPlcXgbvGu1qEb3Vt3R1mqcyj+Fq84V9NAmvOrPrY0t792DLfcsPe76AL/w6PP6rJqkxxzi5IqP0MWso5N7Gt3dqt73RJ4LPvf+Tnj7Pg3y3Xu+f4M2+17CrIcTA9+kx4jriX++Bb5/vY510oPoq4nV9Cv2I9cnF9VLJUo9/xUUjVkp5KclUJSThikvnZL8TMzGLGzF+fi17Xfevx+VKc7PZs+LwxjklcBGBjD02d/QXSKjUEV5mcTuWImqd0Xn6o7e1f3v//UgYdvPhB/9jOE+NvabvUgf/QoDx9bcM16cn83+9UvIPbgKL3GQnvqTeB94luObZpPZdir9bn8NVw+vC3B0F1ZhTga7PplJh+y1DPMUnFBcycUHDR2avWmMwAW9tZDBXscpntefja6D6H3/fLwDw2v+AidVnJ/Nrv9dxjDPGA4WeZIjohnucZTDz7TF/+5fadapf60+R2gaOckxZMQcID/pOKaMWFD16Ny90Hv44OLhg4uXH66efvYOAm9/PHyDMPgElvt7LSnMJ/vsafJTYylMj8OUnYyic6HlsOurDQlLOLCZmKVzaGncQRtvrcr92A+phQrxlgCKAzri1X4YLQdNIv3kHtK2fEVw7j46+5kIAZJ1CmlWL/zJw0/JJEAR6IsVsE9/YZ/Ni6RmN9D7xucZUckDhKKqeAeG/319jKhVPV5oihBCOOKL+/TpUyEs4dixY3TsaH/S3LBgHunxMQ36nSEtWjFy+t017teyZUv8/f1RFIV77rmHu+8+9x4hBIUZicSdPkaXNVPJLIajog2+g++g6/i7a93jVVKYz66vnsHn5Hc83DWQu3LzuTLTSHyxgRyXcERwR3zaDKAw+Ti6M2vp6pGGl6tCgVlwuDgEk38HEBpo1r//s4GwgkcgPe96H9+w+vUqWkxFbH3tOgZZ/8RVV/liEVZN8FdRC5pdP5eWfeq3WELcnnXELf0fnp3H0uu6R6u8aWfEHuHYR9MY7HGGfLNCZomeKE8LbvpzZcsrAZMVfFwFHi4Vy6wJQbxRT6oIpMSvDR7RfbGZi/E78hWd/EpIK4RjfpfR6+73a9XrayrIJengFjJP7sCUeADPrEN0MGTj7aqgCcHJPDdSDe1wazOM0K4jieo+rNqGWFV6vtYTgaCjR0cO+x5m25Rt9V6lbvPc6QzLXwpAfolgr64Xne/8uMqeHVNBLoeWf0Thqa2gc0NxM6C6eaFz80Tn7o3e3ROrqRBbcT42Uz6aqQBhLgJTLiGFx+nkVwJASqHCKaJx7Twen2btMRfkYinKw1KUh81kxGbMoJdxLQUWlaLJi2gzsPLczbUhNI3Nb97EkIIVnDa64nnnciI729Mebv/yKQYmfMRm38kMe/jLKj/jzo/vZIdhBwDTPKfxxHVV9yxXVYZT234lef3nBGXvooufqdr9jWbBsaJAikL7ED5wKm2HTjqvXvPkYzvJ/XQ8nfxKOJDrSXe/QvblehExayWhbeo3kXf3d6/hFdKSDiOn1rtcF0JG3DHy3x1Ca19rlfucytOT2+dh+tzwdL17eYvzs9k9/3HC45bSxtdq//3wHkLX294msHntMwidPbqDmLWf499+EG2GTKqys8NqNnFi4/dk7FqKa9ZRLBF96XXbG7VqeFpMRWQnnaI4L5MSYzYlhTmYC3KwFtlXUjUEt8ArtCUBke3wDY1CUVXyUuPZN28mXQv/JNAD9uV6I4b8Hz2vfbDKOovZtYa0xbMY6JtGRhEcDZnIoFmflj3w5abEkbB3Dbkn/0KkH0OgoI/oTlCXkUT3HVvnjh6r2URuahwmYw7NOvZvsB77mF1rsC6+kXa+FjbaejHkuVXoXd35a/7TdDr5ARZNIbbX05WOOCUf28nJX17HJ+0vAnWFhLjbKr0f1YbJKii2KuhVgbdr1Z8Rb1RJUCIhahDNB0/Fv3k7Di6ZjU/sCrr7FaIJwf48XwpbXo5bYHMUnR5F1aGoOlRVjxA2jDG70aUdJEKk0MrHVu7zNSE4kmcgK6AP4SNuo92QSeXqWrNZyU2JIzf5NC7uXjTv1jQmJlfW/ix1STWKg1u0ov+oAVVu11QX9D6hZOUXERkZSXp6OmPGjOH9999n2LBhlBTlY82Mw1Nv40BsBsZ9v6DGrKe7ezKergophQon9J0IGHwrIe37E9SiQ4XGUMrJvZxY+DidTbsINth7GWNCx9Huipk07zK4yj9uU0Euh3/7hKK9P9JGO02E17nTZtUEVg2sGni5KmQVw+HgCQyaNa9OvVDH1n+Luvx+2vua2Zofgb77FFRXd3Qubqh6d3SubiiqjszNn9NPOYSbDv4qaEbolDfr1JjZuXA27Y+8he/fvYcphQon3HrQ4ppnyhrZpoJc/npnOr0K1+Ohh23WznS7fxH+Ea2wWcwkH9tJ2rGtFMbvh6wzqJoZm4s3ePihGgLQewfh6huCtdiIKX4PbrmnCVeyiPK2loVHxBtV4iMn0e+uuefd+24xFXF8/WKydi/FN/sAHb3ycf+74W6yCuIK3MjUhWD1b4tX24G0H31LjTe1sa+P5azPWZrlN+Os91mOzDhSr7Jt+/QRBiR/zu68QLwnzCFnxYsM8E7GZIVdWhfa3/4RYW17kHb6ACdXvI9r3Aa6eGTgWc2PcVWsmuBY/t8/osNupd2wyTXesE5s/AG/FXfiqoPEoW/Q7aqaH1z/KS89kfhdq8jb8CFDveLYkRdE5+e24RVwbmKi0DQOPtKMCNci3B47WuXDz6INi3g14VUA3u/xPiO6jwDs5/fYuoXkndmD6uKO6mZA7+aJ3t0LvYcXJfmZFO5fSmvrSSK97L0yh3PdyfTriS6gBXpPf1y9A3HzCcLdNwRXgzdn96zCcnwtkdaYsptRVjHEl/hQqPfH5hWOLiAaz4h2+Ed3o1nngdX2SB5Y9hERW5/CTSc43un/6HfzC/z5wUx6Ji+kyKqQ0Pc5ek95tNb1airIZefsyxhmOI3JKtjb/E4G3TO31u8/H7kpcRz97UMspzfh2WtytWEvANlJp8l8awCRBjN7wm7E1ScEzWpGWM1o1hKE1Yyrbxh9bnquwXrNhaax98e30LZ9QF+/XIotgp1aF3o+8kOND9fbPnuUzjGflf0GWmyC00Z3Mlybo0T2wTuqG7lH1+OZvof2Htn4uNn/FtMKIdTT/jC119aByGv/S+v+5dNaGrNSOPTzXMSx3+jillz2HTWx2ARZJhVPFw1vV4WduQF4jHuWrlfcUes6Obx6AdZVz9DDr4B4o0qWzYsIFyNhnufuV4VmgapQ1mC0aoI4owtpSggWjxAUzYxiM6NoZlTNik5Y0AszBkx46iz4uWrljimpQOGMrh1efabSdfy99e613/rxg3RPnI/JphDX8yn6XP9kue2xu9diXXQDrX3MbFYHM+zZ5WTEHuH4z6/hn7yBbn5FgH3kK0sJwuwejOLbDNegaLybtcevuX1CmSk/G3NhLpbCPMxFuViL8rGZjGimArSSArAUgbkIxVoMqg7hEYjqHYKrXxgeAZF4hUVTkp9F+p7luKftoa1rJoEe9jJqQqAqCjH5OhL8h9B28jO17tkG+29pzJafyDuxBb1vGB0m3O90E+EaQpNsFDcGIQTFiQcr3aYgcNNpqIqCyaZg0Xvh7h/By6++jqengXtvmoSnMKIJhWK9L4nZJjp1smdPKMzJ4MCPr6EeXUpPz4yyXkxNCLJNCjlmF4zCAxsqPbxz0KmwOy8Q3aCZ9Jz8cJ17hoSmUVKUbx8a1LuWa3Qc3/A9xcseoaefkZh8HZm9HqLvjc9W2zAxFeTy12uTGKLsIbNYJb7rQ/S/5b/VliEj7hhHPruXPmIfBhf4yxhO4DVzaD9scpXv0WxWNs++khHKDo7luuE+bRGpB9ejO/gtvX2y0KkKB3MNZAf2oVXun0R5a+zMDSDopk9p1XdsneqoKgXZacTtXEmJMYse1zzQaMPKxfnZxO1aTdaxLViTD+FZlEAzfV7Zw4xNE5zIdyfd0BaPDmNoN/oW/CNaITSN7LOnyYw9xLubP2BL80wCsywUqAp//GdVncMedi16iR7HX+eI0Yv2sw/j4WNP6xaz83eSv3uUAZ4J2DSIK3Slva8FKL3JtMWz52Q6XXEnQhMUG7MwGXMoKcjBXJCHxWTExd0bN29/3Lz88fAJxOAXhJvBp169NkmHtmKZP4EwDysH2z5I/+n/q3S/lJN7iVn/NZak/XgWxBGhz6XZPx4QN9p6Mey/ayv9mzq69hs6bZ3FRlsvRvxvQ4XtAMYiIwMWD0BRFH7s/Dppfy7G/ex2OrpnlDVMqlJkERwqDMLcchTtrrq/Tj2zKSd2c2bdV4iYjfhZMwhyMRFq0Moe4MDeEDpcHIqt7eV0vubhsklfQtPYPPdWBuUtI6lQj7h+Ma36XV72vtPbVyC+v4XWPhY2i74MeXZFjSMX8fs3UrRgCh39zGw0d8GvKJYefoVsZCDDn19Z4zkWmkZRXha5KTEY0+IpykrElJOCrSgXvXcwhsDmeIVF4xveCv/wViiqyomNP5C2dSEB2Xvp7FOITlWwagK9qrBR9GPosysq/XvNS40n+dW+tPQycbTHC/S67v9qXe8N5fT2FaT89DSDPWNJL1KJaXcXA+94rUI9FeZksHfOGIZ6xnIo1wP1ytcxnj2O6cw2fArO0Nojv1yD70y+nrP6aPRtR9J29G0Et+zMkTVfk7P6Nfp6JOKmV9iX642py01YC7Nwj/2Dbl7ZuOkVMorguGiJCOuO6uGD3uCLi8EXVy9/XL38QdMoyIjHlJmIJS8FCjPQmXIQqIROeKba3/LqCE1j93ev4r7jPXRoZOtDsfq3xTO6F+HdRhLRqT9C04jfv5HU/WsxJ+7FIz+WZvpsgt01SmxQYlMwawoWTcUiVMxCRxHumFUDVlcfhLs/imcgKAruZ7fT1ZCBwUUhrwSOlIQh2l1B96lPlXswrkrMrjWkLnmAQT4pHMj1JGTmb1XG2BbmZLDvpREM8U4i3qjS3MuGqiicynPhrH9/oq96hOjel9Wr3upLaBpndqwiefuPaDnxBA25hc5jbrkk4t3rSzaKa8lqLiEz6TSqKZcQPwMFhUWMvv4+nn7oLiZeNogCmx634Na4uBuqLGteeiLHf/+Cksw4tPwU1KJMXC25eIpCDKqFRPcOtJz6Mi16jGi04xCaxs6FswnZ/x4tfWzszfXB7cqXCYjuYg+wF6LsfzNO7sJ320u09rGypSCabo/+WqfQi6zEkxyady+9rLvxcbM3ao3tp9D75tnlel9zU+I49doI+vrlsKUgij7PbyproAGknT7Ase/+S1TWJlr52DiV54Jx8FMOucE1przUeE5v+QHjod/xyz9KB6+Csh7llEIFfzet7N973dy4NSIUVQh6mUqYn5rO6Tw9yfrmKFEDaDbgWlr2Hl3lj9+BXz+m3Y4niCt0J+LpPZVOuko4sJm4RQ/jY04lN7AXESPvoO2giQ75Qc1KPEnKW0Pp6FPMVr9rGfbIAmwWM0fWLCD7r28JLzhEe18zAGabIK7AlQwlGEtAOwzRvWne98oa45L//L/O9PFIJPOG1WWhFf9kLi5g3Me98TDAytRUABKNKrFqS1w6jiOyz1XYLCWYi41Yi41YioxYSwpRdS60Hz0Ng2/DTc41FxeQdmo/2bEHMZ49hha3jXbiDGGeAqsmOJTvTV7YYHSZJxjqFcfO3ADaP7250vNclJfJnv9dxlCvOPbnemLucy+dr5pRaaz9X/OfpuPJD9EEnOr8CP1ufsEe7vXCYIZ4JbDV2IzeL26rMLoiNI2Dyz/BtPEtuhkyaj10bNMEJitlIxNHc91I9+lG4IDraTlgAvvmjGGoVzy7c31p9ej6cjH7+RlnSXi5F+28iznQ6Un63vB0HWq44R1d+w3Kikfo6Gdmd64vwdO/LvutP7HxB1x+vYdobyubRV8GP728wkieZrMSt3c9WSd3EtV/QrUPVpkJxzn89RO0yd1E5N8PhglGlRi3TvgPmEaXK+64pGLJD//6IaaDS+mgxBJisIeJ7dPaEz7+KdoNrZgC8/S25aT/+BgDvJMptsAulwEMeebXGh8Yhaax5Z078E1YTY5vFyIvf/C8wr6kC082iusgJiaGSZMmITQbFnMJN1w9lifvvxOLIRTPwHMpsZyhrDWxmIrY9t6ddM1aQYBH1fslFSik9XuG3lMfq/d35abEsX/BY7TIWEdLHxvZxXBQ15XoyS9iLsrD7Zc7CDfY+MtvEkMfnl9lo0toGkmHtxHeoU+94nCbGlNBLifWLyFn/wr0ebFY3QJQfCJwDW6JyTeIBwq/AiA0SeVZW3M8sw/T1j0Hv7+rJt6oEmvoQdioGbQffl1ZvR5b/y0Ra+8hq0SHz0PbmswQWGFOBkdf7Etfvxz25voQ7ZZPgId9iPVwvhe5wf0JH3wjrQZcVa8JasnHduK/cDR7i5sxeO6xcttObP4Jlt6LFizYnedJi5ARtBg1najuw52m10WzWTm2bjEZWxbQrOAgbf/u3d8o+jHs+VU1jjr9+dH9dE38Gl83KLEKjhT4kh/an8jhtxLVcyTbZ49huNtRjuS643vHz+Um1ApNY9PLVzPCtpmDuQYiHtlAUFQHzMUF7FrwNAEnvqWjX4k9fIv2CO8IdN5BuPiG4eEfgWdICzx8gyjITLJPGMo6iyUvBVGQgWI2oovqR/srZ1aIcxeaxpb37qJ/5g9kmFTyL/+QTqNvoiA7jTOze9DJu5C9bR6i/62zG77C68FqNrH1ndvombMCFxV2uA1FcfViQMEqsktUUgfOpue1DzTY99ksZg4s+xCv0Ba0HXyN01yrjqLZrBxa8RnGTR/QxyMRd73CoVwP8tpOpvfN/yNh7zqylz3NQN90jGbBHrX6+RXSxUc2is+DEAJFqdjj4YxlrUpuShyHfnwVYbPYj0XRgaKgKCqqiztdr3uswWYL2zM6vEvJ1o/p45WKi06hxCrIKVHJGPkmXa+sXY5Zya7zu51R/VQi0yNZ9dgqwP6jH7NzNcnbvsczcT3dffLQq4q9gezRHUOHUbQ8+BYlmoJ6xxoiOvZz8FHUjdVsYutzQ2ltO00ckajtL6fzhFn1njz6bxufH80IdReHB7xDl8tvw2o28eerkxlk2UJuiUJsl4drDB9yFvH7N2IuzKft4Im1fk9JYT5HVn1B/t6faFZ8jLZ/T0wrNAs8XRU2mToy8IU/qozN3P75E/SI/Zh0k45Y7360L9xBuKewD/U3v5o+t7/eoD3mpY7+sQif3+8j2F3jL7+r8UnaQDeffHZGzWDgna81+Pedr9RT+4n5+D8M8rGPOOzIDaTN//1ep8l40vnJTjrNwYVP0yL9D1r62MgvEfi42cMs9rn0pdvdn1SbLUi6OMlGcSNoSmV1lLTTBzi2+BlUYzIdZnxFSKuuji5Sk9P3lb6YIkx0y+vGogcWVbpPVuJJjvz0Gp5xa8oayBlFUDD1x3pnB7mYFWSnUfhKO9ItHnhM/Qzz93fQya+EbfnhdHjkt0vuJpl8bCdn1sxDSdyBvsvVDJj+Uo3vObx6ASHrHiTEAHtyfdD6z6D31McbZcGbf8pKPEnsW6Pp45eHJgTbw25j8Ix3G/U7z9feH9+iOCOeQfe8c8n34jqK0DT2//IBBds+x+YdSc97Pm6wh2yp6ZGN4kbQlMoqNV1Xv3U1MUExjNHGMPe2mmf+ZyWe5Niyd4joN7HcZCupvC3v3sXQnO+xaoK8EoWTbe91yt5GZ5YRewRj5tkGmwRbWzaLmS1vTcMtpDUDb3/lgn63JElNX3WNYrl4hyQ5sU7BnYgRMTTzq92qeYHN2zFk1keNXKqmb9DMD9n92GosijttHljKwJadHV2kJie4ZWeCHVBvOhdXRjz5/QX/XkmSLn6yUSxJTuyuMXex9autTLl8iqOLclHRubjS550ERxdDkiRJciKyUSxJTqxVeCs2P7nZ0cWQJEmSpIuejPqXJEmSJEmSLnmyUVyJ3NxcrrvuOjp06EDHjh3Zvn27o4skSZIkSZIkNSIZPlGJBx98kMsvv5wff/wRs9lMUVGRo4skSZIkSZIkNSLZKP6XvLw8Nm/ezIIFCwBwdXXF1fXSWCpTkiRJkiTpUuW0jeLc5WcwJxc26Ge6RnjiN6F1tfvExsYSHBzMbbfdxoEDB+jduzfvvvsunp6eDVoWSZIkSZIkyXnImOJ/sVqt7N27lxkzZrBv3z48PT159dVXHV0sSZIkSZIkqRE5bU9xTT26jSUyMpLIyEj69+8PwHXXXScbxZIkSZIkSRc52VP8L2FhYTRv3pwTJ04AsG7dOjp16uTgUkmSJEmSJEmNyWl7ih3p/fff56abbsJsNtOqVSvmz5/v6CJJkiRJkiRJjUg2iivRo0cPdu/e7ehiSJIkSZIkSReIDJ+QJEmSJEmSLnmyUSxJkiRJkiRd8mSjWJIkSZIkSbrkyUaxJEmSJEmSdMmTjWJJkiRJkiTpkicbxZIkSZIkSdIlTzaK/+XEiRP06NGj7D8fHx/eeecdRxdLkiRJkiRJakQyT/G/tG/fnv379wNgs9lo1qwZkyZNcmyhJEmSJEmSpEYle4qrsW7dOlq3bk2LFi0cXRRJkiRJchhN0xxdBElqdE7bU7xq1SpSU1Mb9DPDwsK44oorar3/t99+yw033NCgZZAuLpqmoary2bI6yRnZjH9xCd6uCh/MHE/XNlGOLpIklSkylWBwd3N0MertTFIqN7/5E5d3i+T5269ulO94Y+FKPtiZw/UdXHlt5pRG+Q5JcgZO2yh2NLPZzK+//sorr7zi6KJIjcRUYiYuJYP4lEySMnJIycrHWFzCwE7RjB3QrcobZXxKBu//tIF1xzPIdgkmyJrB+jnT8fX2vMBH4PyOxiQx4c1VWD0jyQLGf7ybTi4r+eTBybQID74gZcgzFspzI1WQZyxk4gtfEadGcF2LEt66/z+OLlKd/bBuB48tPQ5e0XxxpIRuG3dxzYi+DfodOw6f4oPdRnDz4rsEPWlzvmLB07c26HdIzi/PWMj/vlqB2WrjhdvGE+jrXav3NbWHTkUIIRzxxX369GH37t3lXjt27BgdO3Z0RHEqWLZsGR9++CFr1qypdHtjl9VssTL4kU8BWPDQRDq3bt5o33UpOZ2Qwp3vLiXWFoji7lXlfsJagmtRBpEeNnq2CKBfhxas2XuS7QlFFHlGoOj0iKJc/Gy55HlH45afwLoXphIZGngBj8a5bTtwghs/245w82FWT3cGdG7JI1+uJ90QBeZiBvga+ejhqbX+ca2PJau38eTqswzyM7Lk+dsb7XsuZqmZOfh4GZrUja0mq7cfYMY3u9B8wsGYjvAK4oqgPD55bJqji1ZrD7/7LT8nukJJITP7BfDRrhwUzcamZ65ssAfOgiITPR/9CrNbAB9Obs0zS7aT5x1NZyWJ5S/fJUfJLgF7j8fw3FdrOVzkg+LhA4AwFdDVI5dX7rii0pG/ozFJzFm8lm3JNmxeIYSXJPLaLSMZ3rvThS5+pSprf5aSjeIqXH/99YwbN47bbrut0u2NXdbrnv+c3eZwhGYDczFXR2u888B/5I9QPRUUmbh37hK2ZHmCizuhpkQifFwI8HIj2MdAmL83zYL9MLi7suXgGfbGZpJQqGByD0ZxdS/7HMWYRgdvMzcN78L1Ywai1+t47IPv+T7eDV1hBsseGSvDA4Dlm/cw68fjoOqZPSacW68aVrbtl427eO77nRh9ohFFuYyOsDH3vskN3pu7/0QsV3+4DcXghzAXs2rWADq1imzQ77jYxZ5NY8Sra3C1FbH3jVvw9vRwdJHOi6ZpPPTedyxLdAWrmfv6+nDP1SMY8sQCjD7RDPFKZ+Gzlf/mO4uCIhNXPvslCa4t8MhPYNkTV9OuRQRfrdjM8xuz8Sk6y75370Wv1533d1326Mec0Udxa2szL941CVOJmcue+Iyz7tE0M8Wx7rW7cHdzbYCjck5HY5L4/Lc/0et0eLjqcXPV4+6ix93VhVYRQVw+qIeji9goNE1j/m+b+XDNEbIMzUFR8C1I4J4R7XBz1fP+mqPkekWBZiOs5CxPTOrLZX0688aS1Szbn0K+V3MUVYc+/yzBLhaSXcJB1RNmSuSVm4czqm8Xhx6fbBTXUWFhIVFRUcTExODr61vpPo1Z1s+XbeB/W40EFyfyyk1Due+rbZh9m+ORH89nd49iSI8OjfK9tbH4963sPplIgLeBAG8Dwf7ehAX4EB7oR1R4MK4uFzYi58/9x/no120UW2z0aR3K2L6d6N2xVdnDg6ZpvLRgOV/uzQGvYDzz43lr2qBa/5iZLVbW7zrMlkNnGNmzHaP7da10v7eX/M47uwpRzAXMn96HkX06N9QhVikrz9iovaz19cWvG5m9IR1sZj7+T2euHNyzyv1eX3WcEt/miKIcRobZeHvWZPx9qu7Br62sPCP9n1qCxT2A2zvr+fK4QpQ1iS1v33fen90QjpxJZNexWOLTsknOMpKWX0xWoYV8M5iFgiZUbIqKhopQdGiqjgBhZNV/byQsyP+ClFHTNHo/8DHZHpEoOj0Rpjj+nDuj3g/mq7cfYP6a3bx57zUOGVFJzshm4uwlZHpG456fwHcPXUn3dvZJ1AVFJoY9/gXZXtH0dEnmpxfvqPQ4N+w+wge/biMq0JvHbhxLRHDABT2G/SdimfLOGiy+kbQXiSybfXu5Rukdr37NutxAersm89Psu87ru/77+S8sOO1CK2s869+cWfa6pmlMfOYzDotIfI1xbHzl1gb5m3U2sWfTGDlnJXiHVLlPYGEcX8y6kh7tW1b7WZqm8dOGXUSHBZa7P1Vm056jfLLiL/akmClxcVC9KjoUDx9ESSHtXbL4702jGNS9fbldtuw7xvMLNxAjQlFc3RFmk/1/C3Po5FnAQ1cPZNzA7gAcOp3AI5+u4KQWCjo9IcWJzLlpKGMGdHPE0clGcX3ZbBpxqVlYNUFEoDfehnO9JI1V1jNJqYx6bS2KsLHthYlEBAdgtdqYOXcxq1PdQVEZ6p/Pl0/cfEEboDn5BUye/TUx+qozcYjCLB4cGMwjN9Z+MmN9bNpzlA9/3caeDIHNJ6JiOUwFeJizaWaAs0Vg8olCMaYya1AE/3dT45Vt8e9beWpVAgCvXRXN9WMHNtp3/bxhJw//lkg7XTprX5/RoJ9ttdrYdyKWv47EkJ5bwMTB3ejbuU2t3jfn69/44qgNpTiPJfcMZmC3dtW+R9M0PvzxDz7YEPN34ziXYSFm3rn/uno3+K1WG/0e+oQszyju7azw1C3jGfF/HxGri2TepBZlP9QNwWq1sWX/cc6cTec/owfU2JP6w7odvLJ0N1kGe0/KP4nifHSWIvTCgqoI9Ah0ikCvggJkeDTHpSCVlU+Mp12Litd9VYpMJWzcc5RtR2I5FJ9JdpGF2TeNqPHB7ZH3vuXnZG8GeKRSYLJyWERyeWBOnUMMTiekcMc7S4nTR9qPuSCTNyZ1YMpl/at937YDJ3j4iz/oG+3Pew9dX+/GuNVq443Fq/h0ZybCEEAf9zSWPHdbhd9PU4mZ4Y9/RppHNB1EIitfuRtVVcnIyWfO1ytZeTyXEt9zYWzCaibAlMzE7hE89J8xdW4YZuUZWb/7aI31UOqblVt4dnUi6Ny4uYPCS3dfW2EfTdMY8NDHpHlE8WB3fb1/i7fsO8a0rw/jUpLD/jdvwcvgXmGf2175ig15QbjlJTKguTsFJguFJTaKLBomq6DEBj6u0C7Um/4dIhnXv2u5sA5TiZnlf+7j910nOHjWSIbwQuhc8bNm06OZJ5MGdWb8kF4N0uNdV0WmEno/8iVFhnBmdnehd/soik1mis0WikvMFJksrN53hn2mYNBsDA0wMu/RGyuEGBUUmXj+81/45XiBPVQHEEW5+Npy6RjszvAuLbh2RG+2HjzFV3/s43CuHs0nDABdfjKhrmaUC370dt0ifZl9x0SC/X2q3S8hNZMn5v1KYk4xU/q3Ycbky6psmxyNSeKhT5ZzwhYCelemt7Hy4l0XPuWtbBTXQ1ZeAcm5xQidCwgBKLgIM82DfPAyuFdZ1m0HTvDLnwfJKSjGaLJgNFkpMtsosgpsGswc24XbJwyv9Ds1TaP7/R+Tb2jGG+PCmDp6QLntu4+e4bYPf8foHY0oysHDasTfRSPMx5VWIT50jAphSPd2dIhu1qB18e2a7Ty17BjCO5SWlnieu34YWfmFZOQYycwvJMdYTHahic1nNYR3KOHFcXz31H+ICguq83ct37yHZ7/7C4tQ0CsCFxVcVHDVKehViCtyLftxcclPol+4K7OuHkzryFBWbT/A1iPxHE3JJ61Ej9kjGGxmxoabef+h6y/IMN/6XYe5/eu9CBdPHuhtaJRGeEGRiW6PLsTmFYKi6rjML4svnrylVu/NyS/gTFIasSmZJKXnkJJtJC2vkNQ8E6kFNozCHZvBH0X/r/jRgkxC1QL6RvszeVh3hvfqyKHTiSz7cz9/nUwhNl9Q5BaI4uaJLj+ZFY9fWefr8NOf1/P2Hycw+UQhivMYGWrhyydvrnNj6Opn5nHA1oxBhjQW/x1HfDI+mTHvbMXHnM6hD+vXW2wqMbPw961sO5bAidQC0s16zB5BKC72BoMoKSLUls7Ens25/7rLysJBNE3j45/W8eGGUxT5tECUFNHJLYvRXVsQHR5Im8hQ2kaF1Riz+8rXv/HJQTNqcR7fzhhC/y5tq9z305/XM2/DMbI1dzRDEIrOfpMSQgObFcyFfH1rrypj/LYdOMENXx3E3ZTFoXfvBKDXg/MwekYwe0RAuXCYqhgLi7l37rf8mW0PWYq2JnFVrxZ8uCMb3LwZF2Lkk0dvqnB+i0wl3P7aQrbn+4NOj6Lq8MqPZ9FDV5X17NZGckY2T3+2nI3JAryCoSCT58a24I6JI6p8j9Vq47LHPyXetQXhxXHoVUggBMXNAAUZ9A+y8fSNozl4OoEv1x0ixuqH4uGLMBcRZk3n8Wv6MnlUvxrLlpCayajZP2P1aUaUOZ7lL95abfjQ05/8xKLTKoopn49u6Fbl6AvYG9t9n/oOm6s3397es8KD6a4jp/l6zU5yC0uYNLgzE4f2LtfwzDMW0uuJxVhdfSp9/z898dEPfBvjgqJ3AewPClhMKDYzqmbF5uaN4nbuuERhDl62fKwomDxCzv3tFOXir+XipoM0mxd42e8dwlSAryWTLqEeDOwQybj+Xer0QFgfmqYx/P8+JtEtmmsjjMx94Poq992y7xgzPttAgU8L1PwUnh7XmjuvHklCaiaPf7qM7VluKAZ/1PxUxrZ0w2LTOJRsJN1mqNADLYSGe/5Z+ke6M2PCoBo7FJqyk/HJPPLJcj56cHK92gnn67waxbfffju//fYbISEhHD58uMJ2IQQPPvggK1euxGAwsGDBAnr16lWvQjlDo9hqsxGTkoUJV9BsBHvq8PX0IDEjjxJcAAVXYcaUk0qP7t3IyMln/ootrNoXT5zJA/HvC12zgcUE1hLQuYCbJ221JL57dlqFnrBbXl7AZmMwI3wyq5zdq2kaL3z+C78fSiHPqqPExQvFUH441SUviT7hLsycMJChPetfn6YSMze89BV7TSFgMvLI4GAevH5clfvnGQu5/uVvOKpFQHE+M/v588TNV9Xqu8wWK7e+8jXb8gPAasLVnIcN3d9Dx3pQ9aBzwbU4iwHNXHlg0tAaey/NFiuapl3wmLcDJ+OZ9M5abN6hdFLO8tN/b6uxwfPVis2s2n2KL5+YVuO+pY2+29pa+HHvWfI9m3NfNx2PT6u6rg+dTuC6t1aW6+n6J2G1oBZn400xoZ4qrYO96RodSoCPJ6v3nOJAcgHZuoBzEy3+HioDEDYr+sJ0ItzM9GwRwLO3XElIQOVhR7Xx+bINvLX6OMU+UQQUxLH25Vtq3Wv8zKc/sSjWnfDiOLa+XX6o/z///YIdpjCe6ufBPdeOqlOZikwl9HvkCwp87I2y0tGICIOgS6Q/gd4e/H7wLMlKEIq7F8JcTJAlje7NvNicUILVpxmiKJeBgabzCh+oKTTl9237eWzRVvuDc3EePtYcIr11dI4MYGCnaEb16cTWgye574cToFlZdEffCuFYZouVLg98Tol7IN/f0aOs8R2fksHwl1cgVBd+e2BolbHzmqYx+8tfWbA/F7yC8cqP581/hCydTkjhmleXUuDTgsDCOFa8cC4k5KsVm3lxxSk0nzB8jXF8cd/lfLjsT9ZneoPNwo3tdbwy47pq62jD7iP879tNnNGCUVwNuOYlcl33YJ6dPr5WkwU1TeOKp+ZxQmmOsJQQZknhjlEduXPiiAoNeFOJmXm/bGTJtlMkq8Ggc2FqtIU3Zk2t8vNjz6Yx5uVlWDxDCDKdJcszGl1+MgvuGlLh91rTNKb89wv2mCNwzUtk5VNX0yYqvMZj2LTnKLcsPIy+JI9VT1zFDxt2s/ZQEvGV3aOK8wnWshnUOoDpl/fnwU9XkegWzT2dBE/dMr7G70rOyKbEbCHY37dCj7Kmaew/Gce63cfZeyaFM1kmMq1uqGhEGaz0bx3CNUO707dT63J1u+vIab5dv4ftZzJJtnraH2pKy1uUi5c1j+beKr1aBvPUzVfWKtb9ve/WMHfzWbwpYv59l9OnU+tK95s+5ys25gfRkURWvXpvjZ9bGqL3xb48FM9ADPnxFLqHoLh64JEfz52DW/LwDeMqXDtnklL5eeNetp84S7ifgfsnj2jwDi2pcufVKN68eTNeXl7ccsstlTaKV65cyfvvv8/KlSvZsWMHDz74IDt27KhXoRzdKM7MNZKcVwI6Pa6amVbhAeWGAYpMJSRk5GHGhbTEGGZ+sxuzZyiK3gVhLcGrKJU+kQauHdyFNpGhhAX54e/tWfbHkJqZw9Q5S0hwbQHGdP57RWumj7f3uHy7ZjtPrE3Dt+gs+9+vW9xenrGQPcdj2X8qka3Hk9ifSVlYgZqfQrcAjeuHdaVdVChhgX6E+PtWOiSlaRrGwmIycvLZezKep38+iNWnGUGFcfz09NRaz2j+ds12nv7lKJpPGKFFcXz/VPXv/XP/cW7/dCNm3+b4GuP44fFJjd4b0NgycvKZNPsbktyi0eef5Ys7hlTaK7f/RCx3fbCSDM9oAIIL49j+dtWTZH7esJOHV6YQWpLEzvfuIz07j4HPfo/V3Z93J7aoNB3TktXbeHJFDLh40MM9i8gAT0L9vWgW5EuLsEBaRgTTIiy4xmFKTdNYt/MwP205yLGUfKKDDIzq3oqJQ3s1eEyhpmnc9L/5bCsKQW9M5btZo6q8iZX6ds12nliTglthOnvevLXCjTInv4AezyzFxVbM8ffuqPWwrKZpDH74Y1I8ohloSOOJ/4ykW9sWlf6NFplK+OyXjfyw4zSJ2t8PEQUZXBGt59V7JjXIZMJlm3bzwE8nQNXz4uhwpo8fxqHTCdz7wXKSXJuDpYQBvvl88sh/qjwvv2zcxYO/xICthG/vGlCuV2rKC5+zqyScKZGFFRp3yzfvYdayONyKMtj71vRyjaCc/AKe+/xXVp4uQvMJR81PZdaQiEqH8K1WGzf+bz47ikNQC7N4Zmw0X208SqJbNKIwm7t7+/LM9Ill+6/fdZh75m/F4hNJQEEc3z9+LW2iwtE0jT3HYli65QA7TqeTUKRi9o4AzUZoyVkevqonN4wbVOc61jSNb1b9yWV9Otf6AeZMUipXzllKiU8UXdUkls6+s8I1djohhXGv/obVEMR9PVx5fNpVvLzgV+YdMAEK0zvpy4aTjYXFXPbUl6QbogkpimPdK7fXaaLjnK+WM+/YuWtUWErwLk6lZ4QH/xnRnchgf75evYMtp7JIV/1RPM49yHYQifz+Ws0NwgvleNxZ1uw4ws5TZzmVXkSm1RWrIdjeQ12QybRu3sy+85pK/yaTM7KZ8vISzrpHQ0Emws0LhGB0SBGfPnpTuXP0xsKVfHDQil9hInvqOFkxIyefW19bzJFiH0JFDk9O6su1I2seNZAuvPMOn4iLi2P8+PGVNorvueceRowYUbbIRfv27dm4cSPh4dU/zTqiUSyE4GhiRhUbwaZzBc1KqJcLodX0dBUWm9i59yB3LdpPS08bV/ZqyfSrhtS6YfD+92t4a0sqwuBPO5HEu/dO4Mq56xCKysYnx9KyWWh9Dq+c7QdP8tGvW9lxtoQSn2YoSvkfC2E2gdWEolkQig70bqB3KxtmBXtv2LSOel6+Z3Kdv99YWMyNL3/NQWs4WEz4mDPoEuLOuN5tmTyyL96eHmiaxqy3l7DirDsIjetaabxx35SLKsPGC58tZcERM6g6JkdbeXPWVFRVJc9YyB1vLGFXoT8oKl1d0tGpCgdszWhpiWfdG/dWqIeysAm9BxufGF12nRw4Gc/E9zcDCstmDS436eOxD77n+zgXlBIj70zu2OA5TBvbK1//xif7i8Fm4aVxzbn5yqEV9knNzGHOwt9ZFqOhCBu//99lVfa4/N/73/HTWS+mNi/i9ftqtwhBac98NzWJX+fcU+uym0rMbNxzlFF9uzR4/P8/091FaSkkqGGg6mgtkpn3wKRa9Sb+tH4nj/wai2I18cOMwfTt3Obvh/N0gkxJ7Hq38ofz0t74KHM8m+fOZMfhU/x34TqOmvxR3L1Q81O5so0Hb953XY2jNJ/+vJ45G1PsGUI0G23FWRY/dWOlIw2mEjO3zPmaHUVBYC7Cz5pDrs4PxeAH2NMouhem0ylIx+xbxzkkC0xBkYmxT39Bsns0/gVx/PGPUY7jcWe58vVV2AwBPNTbwMM3XF72vu0HT3LzJxux+jSjlTWet+++iqlvr6LEtzm9XJL5sYqJfzWZNXcxMen5jO/ThpuvGFxlo1rTNJZv2cv3mw+RXVhSq9EtRysylfDhj+v4eFsymk84LnlJPDu+Y7nQnrmLV/Hu9kzw8KWDksy3z0zjWOxZ7vx0HUU+LXDNS+TDWwcxZkA3Vm7dx4yfTqM35bL9pannNdolObdGbRSPHz+eJ598kiFDhgBw2WWX8dprr9GnT58K+86bN4958+YBkJGRQXx8fLntF6JRfDghs8rtrqqgVVgALrW4gZ1vWVMzc5jy8mJ7z4i1BFQ9Lwz1rTLe+HwcjUli0dodZBuLySsyU1hipdBso9iiUWKzx+y66xUMrjo8XXV4urvg4+HK3ROGnHd+5J/W7+TNZbtItRrKhu2E1YxbYRqKIijxicIjP4FvZo2tsSewqdp99Aw3fbCWEp/mBBXGMaZTKEuOFIJXEH4FcXxw52UM6dEBTdMY+8SnnNZF0dMlmaX/Kz97vLRxdlcHW7leNPi75+/XePSmHLa/NBU/b08mPvs5x5XmuOUnsPzvtE1N0cqt+5i55CDC3ZfJUSbmPnA9ZouVD3/8g8XbzpDuGo7i4oZiTOe9/3RjwrDeVX6W1Wqj/QNfYtO5cWBOzWng7ntrESsy/CoNx3C043Fnuer1ldh8IggoiOPdO0bVOVzq+z/+4rEVCSiWYr68tTd3LNiFpurZ/PTl1Y7uXP7EJ/ZrKy8Rk7f9uvIvSuSekR24Z9LIOtXT0Zgk/m/eb9w+pmetJp39snEXj32/F4vqTrBSQNdmXlzepz3jh/R0ioacpmncMucrthiDcDGm8OODY3DR6xk/dw2auz+P9vfi/qljK7yvoMjE1c/P54w+CmGzgtC4sbWtxnCRS53ZYuWR979neZxAMfgRUBDHM9f25c1lu0jxiEYxpvG/8e2YdsWQsvdomsb/vf89P8cqoHejh1s6B/LcEKqen+4dcNHeiyQ7p2kU11QoR4dP1EVDlfW979bwzqZEhkbq+Orp6edfMCd2PO4s36/fzZbjycQVqJhdvBkVZuGzx6Y5ZIbxhWS2WLl+9nz2lISiqDrU/FQeHtG8ws3RarUx+P8+Ic0jutwEup/W7+SRVefCJipTOvTnU5CIQKHApwVR5nh+n3OHUzQWzseZpFSumrMUk08UPsY48nS+KAZ/REkhUWRw5+iu3HzFkFo1xj78YS1v7DGXm4hXmdcXruDDgza8CpLYNdc56zAnv4D9J+PPKwXg4t+38tTqZPucB52OJ/p6MPO60dW+x2yx2ifeuQbSyT2H/067rNqJf5ci+yiHfUROtVnQ3Hx4eoh/jfHsL37xC4v3pPL0VZ1qNaFRskvPzuOut75jvykQxcUdodnorCaz5Jmbq3z4PRqTxLS5y8j2sndOvTI6lBsvH3yBSy5daDJ8oo7efvttPv/8cxRFoWvXrsyfPx939/ITCJylrFLTsvj3rew6kcgr915b5dCyqcRMv0c+I88riutbmHhu+oRKwyYqc/fr37AmOwBhs3JFiLFJrdBVkyJTCVc8/QVxahg+xSlc0z2cR28YV6843S4zP8LoFsT6/xtG68iwCtuXrN7Gk2tS0BdnXxJDqd+s3MKza1Po4p7DildqFyJitdrQhLjgucmbkuWb93D/D0cQLgaeHxFUbeYLqWEcOBnPcwt+58YR3WqdFvPdb1fjZXCT5+cS0aiN4hUrVvDBBx+UTbR74IEH2LlzZ70K5QwNzbNnzzJkyBCOHj2Kh4cHU6dO5corr2T69Onl9nOGskoXr5z8AgY8uRCTZzi+RUnke0dzd0eNp2+dUON7/+/97+jROqLS+NuLgaZp5x3GsHLrPmYsSwSTEXeLER+9PdNMVKAXwb4Gvj5SgmIzs+LhUZfMEutFphKn7A1v6pIzssnIMdYpnZwkSY2nukZxjY/4N9xwAxs3biQzM5PIyEhefPFFLBYLAPfeey9XXnklK1eupE2bNhgMBubPn9+wpXcAq9VKcXExLi4uFBUVERHRNGMxpabL38eLdS9MYfiLP5PvY599/vSttcuv+9b9/2nk0jlWQ8T1Xjm4JzcfiWXN4VzyFJUM4UW6zY+jWXrIAhQzn9/S65JpEAOyQdxIIoIDLvjKd5Ik1U+NjeIlS5ZUu11RFD788MMGK1Cpkyf/h7HgWIN+prdXR9q1e67afZo1a8ajjz5KVFQUHh4ejB07lrFjK06KkKTGFhkayIrHr+TpL1byztMXd0PXEV66+1pe+se/zRYrh88ksP9UIgM6d6dTq0iHlU2SJEm68JxnKrWTyMnJYdmyZcTGxpKcnExhYSELFy50dLGkS1SH6Gb8/L+7HLLqz6XG1UVPrw6tuH3CcNkgliRJugQ57QyJmnp0G8sff/xBy5YtCQ62pyO69tpr2bZtG9OmXTwTliRJkiRJkqTyZE/xv0RFRfHXX39RVFSEEIJ169bJCXWSJEmSJEkXOdko/pf+/ftz3XXX0atXL7p27Yqmadx9992OLpYkSZIkSZLUiJw2fMKRXnzxRV588UVHF0OSJEmSJEm6QGRPsSRJkiRJknTJk41iSZIkSZIk6ZLndI3iWiyw53BNoYySJEmSJElS7TlVo9jd3Z2srCynbnQKIcjKysLd3d3RRZEkSZIkSZIaiFNNtIuMjCQpKYmMjAxHF6Va7u7uREbK5P6SJEmSJEkXC6dqFLu4uNCyZUtHF0OSJEmSJEm6xDhV+IQkSZIkSZIkOYJsFEuSJEmSJEmXPNkoliRJkiRJki55inBQqoegoCCio6Md8dVNSkZGBsHBwY4uxkVH1qvzkOeicch6dX7yHDUeWbfOz1HnKC4ujszMzEq3OaxRLNVOnz592L17t6OLcdGR9eo85LloHLJenZ88R41H1q3zc8ZzJMMnJEmSJEmSpEuebBRLkiRJkiRJlzzZKHZyd999t6OLcFGS9eo85LloHLJenZ88R41H1q3zc8ZzJGOKJUmSJEmSpEue7CmWJEmSJEmSLnmyUSxJkiRJkiRd8mSjWJIkSZIkSbrkyUaxdNGaP38+6enpji6GJDUaeY1Ll6r169dTWFjo6GJIFxnZKHaQzz//nKlTp7JlyxZHF+Wi88033zBkyBB27NiBwWBwdHEuafI6bxzyGnd+8+bN47nnnqO4uNjRRbmoLFq0iN69e7NhwwZcXFwcXRypEk352tc7ugCXotWrVzN37lw6duzI9u3b6dKlC/7+/gghUBTF0cVr0n799VduvfVW/vrrL/r161dum6zfC0te541DXuPOSwiB1Wrl888/57XXXsPd3Z2xY8cydOhQRxetybNarbzzzju8/PLLrFq1igEDBji6SNI/XCzXvuwpvkD+OczTp08f/vjjD2bNmkVSUhKbNm0CkDezBjB69GiuuOIKcnNzAXj//ffZunUrIOv3QpDXeeOT17hzMpvNKIqCi4sLvXr14tixY9xzzz3Mnz+frKwsRxevydPr9bRt25Zp06bRokULzGYzP/30E8nJyY4u2iXvYrr2ZaP4ApgzZw5Dhgzh5ZdfZu3atQQGBhIREcHw4cNp1qwZu3fvJi4uDrA/bUm19/zzzzNv3jxsNhsABoOBBx98kAkTJtCtWzdiYmJ44okneOihhygoKHBwaS9u8jpvHPIad34vvvgiN954IwsWLCA7O5v+/fvj4eHBjBkzSEpK4o8//kDTNEcXs8mZM2cOO3bsKPv3wIEDadGiBVdccQW9evVi6dKl3Hrrrbz88ssAso4d4KK79oXUqH766ScxdOhQcejQITF//nzRvXt3ceLEibLtu3fvFg888ID47LPPHFjKpic/P188/vjjIjQ0VIwYMaJcnQohxJtvvikOHTokhBAiMTFR9OrVSxw4cMARRb0kyOu84clrvGmYO3euGDNmjPjjjz/EtGnTxAMPPCCSk5PLti9evFhMnDhRnDlzxoGlbFqSk5PFtddeK3x9fUWbNm3Kbdu2bZt46qmnRGJiohBCiEOHDgk/Pz+RmZnpiKJe0i7Ga1/2FDey3Nxcrr76arp06cL06dOZOHFiuaUNe/fuTa9evUhOTmbBggW8+uqrDixt0+Hu7s6ECRNITk6mY8eOLFmypFxQ/8MPP0yXLl0AiIyMpG3btpw9e9ZRxb3oyeu84clr3PnZbDb27dvHCy+8wGWXXcZzzz2HwWDgnXfeKdvnhhtuwMfHh02bNrFr1y4WLVrkuAI3Eb6+vkyZMoXc3Fz8/PyYO3du2ba+ffvywgsvEBkZCUCXLl24/PLLyczMdFRxL0kX67UvG8WNzGQy8eeff5b9e/bs2cTHx7N8+fKy13r27MlXX33Fk08+6YgiNkkuLi707t0bVVW577772LhxIwcOHCjbrqr2S9toNPJ///d/JCQk0LNnT0cV96Ihqgh7kNf5+amsXuU17tyEEOh0OkJDQ/n8888BaNOmDddeey3Hjh1jz549ZfvecsstzJw5k2uvvRaTyeSoIjcZBoOBq666CoC3336bl19+GbPZDNivezc3NwAsFgv3338/+fn5tGjRwmHlvdj9+/fpYr72ZaO4kZReRDNnzmTXrl388ccfZduef/55Fi5cCNgD1B9++GGGDh1KTEyMbDDUgYeHB0IIOnfuzNChQ5k/fz7Z2dll2/ft28f48eOxWq388ccfhIWFObC0F4fSGxPYr3F5nTeMf9drKXmNO5d/xkaWTmq8++67SUpKYs+ePaiqSnR0NP369WP//v0AnD59mueee45p06Zx4sQJ7rjjDkcU3alVFnPq7e2NEIIhQ4YwfPhw7r33XuDcw+CyZcsYOHAgOp2OH374AXd39wta5kvJvyfwXtTXvmOiNi4eS5cuFbNmzRJZWVnlXtc0TZhMJiGEEPPmzROdO3cu27Z27Vrx7LPPCk3ThBBC5OXlXbgCNyHV1a3NZhNCCGG1WoUQQmRlZYkrr7xSbNiwQfz2229i06ZNQtM0kZqaesHLfTFasWKFGDdunLj77rvF119/Xfa61WqV1/l5qK5e5TXuHJYtWybeeustIYQoOyf//P8lJSXitddeE1OnTi3bdv/994vPP/9cCGE/bykpKRewxE1DVfWqaVrZb4bFYhFCCJGamir8/f1FRkaGOHz4sIiPjxeJiYkiNjb2gpf7UvLbb7+JG264Qbzwwgvi1KlTZa+X/iZdjNe+7CmuJyEEP//8M0899RRLly5lw4YNZU+74u9coW5ubiQkJHDXXXfRo0cPHnzwQX788UfefPNNrFZr2dOWj4+PIw/F6dSmblVVJSEhgaKiIgACAgLo27cvV1xxBY899hiapqEoCqGhoY48lCbParUyZ84cXnjhBR566CGGDRvGypUr+e233wDQ6XTyOq+H2tSrvMYdy2q18tprr/HAAw/w6KOPsn//flRVLcsCUtpjmZeXx80330xWVhYvv/wyZ86c4cSJE+j19mUAAgICZA/+P9RUr4qioCgKGRkZWK1WAEJDQ7n22msJCQlh+vTpFBQUEBkZSXR0tAOP5OJlMpm49957mT17NjfccAOxsbF88sknxMbGAvbfJ7hIr33Htsmbtn379onMzEzx448/imuuuUbEx8eXbbNareL5558X7dq1EwcOHBDJycli6dKlYvz48eKVV15xYKmbhtrUbefOncXGjRuFpmli69atomXLlmLOnDkOLPXFacmSJeL06dNCCHtv7yOPPCJ++uknIYS9J0de5/VTm3qV17hj/fzzz6K4uFi8/fbbon///uW2Wa1WMWvWLDFx4kSRkpIiDh8+LJ5++mnRu3dv8eKLLzqoxE1DTfV6//33i6uvvlocOXJE2Gw28fXXX4sWLVqI119/3UElvvS88847IiEhQQghxLFjx8TIkSPLMkuYzeaL9tqXjeI6WLBggVizZk3Zv0uHdoQQYsqUKeLtt98WZrNZCCFETEyM+N///ieys7PLfcY/3yOdc751m5qaKvLz8y9cgS9i/z4XJSUlwmazldX/1KlTxTfffCOEECI2NlZe57V0vvUqr/HG9+6774onnnhCfPfdd0IIUXZuhBAiOjpaLFq0qOzf+/fvF9OnT69w7ZeGE0nnnG+97tq1S+Tk5Fyw8l6KSs/R999/L4QQoqioqFwY6OjRo8WePXuEEPZOq4v12peN4lrIzs4WkydPFmFhYaJr165l8TQ2m60s9mnLli1i1KhRYu/evRXeX7q/VNH51q1sfDWc6s5FqeLiYnH11VeLY8eOVXi/vM4rd771Kq/xxqdpmpg7d64YNGiQ+OGHH0SHDh3E/PnzRVpaWtk+P//8s4iIiKj0/fLar9z51qu89htfVecoPT29bJ+EhAQxaNCgSueFXGzXvowprgV/f3/Gjh3LsWPH6N27N7Nnzy7bVhovOWTIEHr06MGqVas4fvw4n376KXAudYlUufOt29LYJen8VXcuSuXk5GAymejQoQNJSUn8+OOPgLzOq3O+9Sqv8canKAobNmzgpZde4rrrruPtt9/m4MGDrF69umyfSZMm0a5dO958800A1q5dC9gzJ8hrv3LnW6/y2m98VZ2j33//vWyfQ4cO0b59e3x8fEhOTmbfvn3AxXnty0ZxDcTf6ZFuueUW/Pz8mDlzJj///DPx8fFlkwNKJ4E99NBDzJkzh+HDh5Oenu7IYjcJsm6dR03nonTCS0xMDEajkXfeeYcJEyaQkZEBVEzZI9nJenV+pb8xffr0YcuWLQBcfvnltG3bliNHjnDixImyfT/++GMef/xxwsLCSE5OBs5NuJPKk/Xq/Go6R0eOHAEgIyMDd3d33n//fcaNG0dSUhJwcZ6ji++IzlPpDNjSm1npTak0B2Lp7O9nnnkGODdLPC0tjVmzZjFq1Cj279/Pc889V+79kqxbZ1LXc1HaY7N37162b9/O6dOnWbFiBTNmzLjQRXdqsl6d37/PUemNvU2bNhiNRg4dOgTA8OHDycvLw2g0ArB//37uuusuJk+ezN69e7n11lsdUHrnJevV+dX1HJWuoPnLL7/wySefcPr0aX7//XcmTJjggNJfGLJR/Lft27dz11138fbbb2M0GstuZv/srSw1a9YsTp8+zZEjR8jIyCA2NpagoCDef/99fv31V8LDwx1xCE5L1q3zqO+5SEtLIysri5EjR7Jp0yY++OADIiIiHHEITknWq/PbunUrt956Ky+99BLZ2dll58hisQDQr18/9Ho9a9aswWq10qlTJ86ePcvu3bsBCAwM5KOPPuKHH36Q5+gfZL06v/qeo507dwJw8803s27dOt59912aNWvmsOO4EGSjGNi0aVNZT2RycjJz5sxhzZo1wLneyuLiYgoKCgCIiopi0qRJdO3alaFDh5KTk4NOpyMqKsqRh+GUZN06j/M5F8OGDSM+Pp4uXbowdOhQRx6G05H16vxiYmKYOXMmI0eOJD4+nueee46VK1cC9uW0wd5b1qdPH86cOcOrr74KgJubW9nywc2bN6dr166OOQAnJevV+Z3POWrVqhUA1157LSNHjnTMAVxoDpjc53Teeustcf/99wsh7Cuw3HbbbWL69OllK0U999xzYtKkSeLAgQNCCCEWL14soqKixGOPPVYutYxUkaxb5yHPReOQ9er8lixZIv7zn/8IIeznaN68eeLee+8ty7v6zDPPiNtvv13ExsaKY8eOiQkTJohevXqJu+++u1yWEKk8Wa/OT56jurkkp3b+9ddfBAQE0K5dOwDat2/P/v37SU5OJiIiAi8vL7Kysvjll18YOXIkp0+f5o033qB169YAtGzZko0bN9KyZUtHHoZTknXrPOS5aByyXp3f8uXLiY+Pp0+fPgwYMIB+/frx/vvvk5CQQFRUFIMHD+bMmTN8++239O3bl5iYGGbPnl22QtrixYuxWq34+fk59DicjaxX5yfP0fm5pMIncnNzueqqqxgzZgzff/992XBmu3bt8PHxYfr06UyePJnExER69OiB0WikXbt2LF68mNatW5cFqQ8YMEDe0P5F1q3zkOeicch6dX4pKSlMmDCB119/nZycHG677TZWr15Nq1atGDhwID/88ANgf5Dp3Lkz+fn5dO3alcWLF9OmTZuy+G8vL69LtlFQGVmvzk+eo4ZxSTWKCwsLGTduHO+//z6FhYVs3rwZgLZt2zJ37lyeeuoppkyZwtKlS+ncuTMbN24se+/FmI+vIcm6dR7yXDQOWa/Ob/fu3QwdOpQtW7bw3HPP8eCDDzJv3jwAhg4dyqFDh9ixYwc6nY5mzZqxefNmfH19Afs5uhhTTDUEWa/OT56jhnHR18LXX3/Npk2byM/Pp1mzZtx9991MnToVd3d3du7cWZYT0dXVlZEjR3L99dcD9hRJl19+ednnyAumIlm3zkOei8Yh69X5ff3112zcuJGSkhIuu+wybr755rJtgYGBZWEu/fv3p2fPnjzyyCMUFBRw5MgRWrRoQVFRESDP0b/JenV+8hw1vIuyJoQQpKSkMHLkSL766isWLVrEjBkzyMzMxN3dHYPBwOjRo8nJyWH9+vXl3vvnn3/Su3dvtmzZwvjx4x10BM5L1q3zkOeicch6dX7/PkeLFy/m9ttvp6ioiPDw8LJUUykpKeTk5AAQFhbGgw8+SP/+/bn99ttZuHAhTzzxBAaDwZGH4lRkvTo/eY4amQMn+TWK0nW4T5w4IW666aay12bNmiUmTZpUbt+5c+eKZ555RuTm5oqCggIhhBBnz54VK1asuLCFbiJk3ToPeS4ah6xX51ebc1S6z/jx48XatWuFEEKkpaUJIYSwWCwiPz//Qhfb6cl6dX7yHDW+iyb7hM1m47nnnsNms3HllVeSn59fFsOn0+l49913iYiIYNOmTQwfPhyAu+66i2effZYxY8YQHx/Pnj17iIyMlAnE/0XWrfOQ56JxyHp1fnU9R2azmeDgYNq1a8czzzzDb7/9xsaNG/H398fb29vBR+M8ZL06P3mOLpyLInxi06ZN9O7dm5ycHNq0acNzzz2Hi4sLGzZsKFuRRVVV/vvf//Lf//637H0rVqzgo48+onv37hw6dIjIyEgHHYHzknXrPOS5aByyXp1fXc7RCy+8AIDJZGLBggVcdtllGI1G/vjjD/z9/R15GE5H1qvzk+foAnN0V3VD2Lx5s/j666/L/j1jxgzx0Ucfifnz54tevXoJIYSw2WwiJSVFTJkyRcTGxgohhPjll1/Epk2bHFHkJkPWrfOQ56JxyHp1fnU9R4mJiWLHjh3i5ptvFvv27XNQqZ2frFfnJ8/RhXVRNIoLCwuFyWQqi6VZuHChePLJJ4UQQnTv3l289957Qgghdu3aJa6//nqHlbMpknXrPOS5aByyXp1fXc5R6epdUs1kvTo/eY4urIsifMJgMODm5lYWY7N27VqCg4MBmD9/PseOHWP8+PHccMMN9OrVC7DP4JRqJuvWechz0ThkvTq/upyj3r17A/Ic1YasV+cnz9GFddFMtAN7MLqiKKSlpTFx4kQAvL29mTNnDocPH6Zly5Y0a9YMAEVRHFnUJkfWrfOQ56JxyHp1fvIcNQ5Zr85PnqML46LoKS6lqioWi4WgoCAOHjzI+PHj+d///oeqqgwZMqTsgpHqTtat85DnonHIenV+8hw1Dlmvzk+eowvEgaEbjWL79u1CURQxePBg8fnnnzu6OBcVWbfOQ56LxiHr1fnJc9Q4ZL06P3mOGp8ixMUVfJKUlMQ333zDI488gpubm6OLc1GRdes85LloHLJenZ88R41D1qvzk+eo8V10jWJJkiRJkiRJqquLKqZYkiRJkiRJkupDNoolSZIkSZKkS55sFEuSJEmSJEmXPNkoliRJkiRJki55slEsSZIkSZIkXfJko1iSJMkJ5Obm8tFHHwGQnJzMdddd5+ASSZIkXVpkSjZJkiQnEBcXx/jx4zl8+LCjiyJJknRJ0ju6AJIkSRI8+eSTnDlzhh49etC2bVuOHTvG4cOHWbBgAb/88guFhYWcOnWKRx99FLPZzDfffIObmxsrV64kICCAM2fOcN9995GRkYHBYOCzzz6jQ4cOjj4sSZKkJkOGT0iSJDmBV199ldatW7N//37eeOONctsOHz7Mzz//zK5du3jmmWcwGAzs27ePgQMH8vXXXwNw99138/7777Nnzx7efPNNZs6c6YjDkCRJarJkT7EkSZKTGzlyJN7e3nh7e+Pr68uECRMA6Nq1KwcPHqSgoIBt27YxZcqUsveUlJQ4qriSJElNkmwUS5IkOTk3N7ey/6+qatm/VVXFarWiaRp+fn7s37/fQSWUJElq+mT4hCRJkhPw9vbGaDTW670+Pj60bNmSH374AQAhBAcOHGjI4kmSJF30ZKNYkiTJCQQGBjJ48GC6dOnCY489Vuf3L1q0iC+++ILu3bvTuXNnli1b1gillCRJunjJlGySJEmSJEnSJU/2FEuSJEmSJEmXPNkoliRJkiRJki55slEsSZIkSZIkXfJko1iSJEmSJEm65MlGsSRJkiRJknTJk41iSZIkSZIk6ZInG8WSJEmSJEnSJe//ARKxqx/sz49QAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Load the demo data into a TimeSeriesData Object\n",
    "multi_anomaly_df = pd.read_csv(\"~/Kats/kats/data/multivariate_anomaly_simulated_data.csv\")\n",
    "multi_anomaly_ts = TimeSeriesData(multi_anomaly_df)\n",
    "\n",
    "# Plot the data\n",
    "multi_anomaly_ts.plot(cols=multi_anomaly_ts.value.columns.tolist())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When we train the `MultivariateAnomalyDetector` and plot the results, the first plot gives the time series we previewed above and the second plot gives the overall anomaly scores for the time series.  Since we are using 60 days for training in this example, the first 60 days are not included in the plots below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1152 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(10)\n",
    "params = VARParams(maxlags=2)\n",
    "d = MultivariateAnomalyDetector(multi_anomaly_ts, params, training_days=60)\n",
    "anomaly_score_df = d.detector()\n",
    "d.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see above, the overall anomaly score spikes around the end of January.  We can list the specific dates that are anomalies using the `get_anomaly_timepoints` function and specifying the desired significance level (here we use 5%)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Timestamp('2020-01-23 00:00:00'),\n",
       " Timestamp('2020-01-24 00:00:00'),\n",
       " Timestamp('2020-01-25 00:00:00'),\n",
       " Timestamp('2020-01-26 00:00:00'),\n",
       " Timestamp('2020-01-27 00:00:00'),\n",
       " Timestamp('2020-01-28 00:00:00')]"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "anomalies = d.get_anomaly_timepoints(alpha=0.05)\n",
    "anomalies"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then using the `get_anomalous_metrics` function we can look at the at the top metrics that are contributing to a multivariate anomaly.  In the case of the anomaly times we found here, we can verify that the largest anomaly scores come from metrics 5 and 6."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>metric</th>\n",
       "      <th>anomaly_score</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>5</td>\n",
       "      <td>12.757618</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>6</td>\n",
       "      <td>9.249919</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4</td>\n",
       "      <td>2.511899</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  metric  anomaly_score\n",
       "0      5      12.757618\n",
       "1      6       9.249919\n",
       "2      4       2.511899"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d.get_anomalous_metrics(anomalies[0], top_k=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3. Trend detection\n",
    "Trend detection tries to identify significant and prolonged changes in a time series.  Rather than identifying change points, trend detection identifies windows of gradual and prolonged change.\n",
    "\n",
    "`MKDetector` is the trend detection algorithm that we include in Kats, which is based on the non-parametric Mann-Kendall (MK) Test.  What the `MKDetector` essentially does is apply a MK to a window of fied size (specified by the `window_size` argument in the `detector` method) and return the start point of each window for which this test is statistically significant.  Trend windows are detected based on the monotonicity of the increases or decreases in the time series in the window, not the magnitude of the change in the value of the time series over the window.  \n",
    "\n",
    "The test statistic for the MK test is called the Kendall's Tau Coefficient, which ranges from -1 to 1.  \n",
    "* A Tau coefficient of -1 indicates a perfectly monotonic decline\n",
    "* A Tau coefficient of 1 indicates a perfectly monotonic increase\n",
    "* A coefficient of 0 indicates there is no directional trend\n",
    "\n",
    "The MK Test converts the Tau Coefficient (along with the value of `window_size`) to a p-value, and we return change points for which the p-value is smaller than `alpha` (0.05 by default).  For additional control of the intensity of the trends we return, we can use the `threshold` attribute in `MKDetector` to put an absolute lower-bound threshold on the value of the Tau Coeffficients for trend windows that are returned. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "These are the parameters to use when initializing `MKDetector`:\n",
    "* **data**: TimeSeriesData, this is time series data at one-day granularity. This time series can be either univariate or multivariate. We require more than training_days points in each time series.\n",
    "* **threshold**: float, threshold for trend intensity; higher threshold gives trend with high intensity (0.8 by default)\n",
    "* **alpha**: float, significance level (0.05 by default)\n",
    "\n",
    "The full set of parameters for the `detector` method in `MKDetector`, all of which are optional and have default values, are as follows: \n",
    "* **window_size**: int, the number of look back days for checking trend persistence (20 days by default)\n",
    "* **training_days**: int, the number of days for time series smoothing; should be greater or equal to window_size (None by default). If training_days is None, we will perform trend detection on the whole time series; otherwise, we will perform trend detection only for the anchor point using the previous training_days data.\n",
    "\n",
    "* **direction**: string, the direction of the trend to be detected, choose from {\"down\", \"up\", \"both\"}  (\"both\" by default)\n",
    "\n",
    "* **freq**: str, the type of seasonality shown in the time series, choose from {'weekly','monthly','yearly'} (None by default)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Basic Usage"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We begin by simulating some data with weekly seasonality using the `Simulator` class.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kats.utils.simulator import Simulator\n",
    "\n",
    "sim = Simulator(n=365, start='2020-01-01', freq='D')\n",
    "tsd = sim.trend_shift_sim(noise=200, seasonal_period=7, seasonal_magnitude=0.007,\n",
    "                              cp_arr=[250], intercept = 10000, trend_arr=[40,-20])\n",
    "\n",
    "# plot the simulated data\n",
    "tsd.plot(cols=['value'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can use the `MKDetector` detector to look for a downward trend.  Because the input data has weekly seasonality, will want to smooth the time series using a 7-day rolling average prior to running the detection algorithm.  We can do this by `freq = 'weekly'` in the `detector` method. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kats.detectors.trend_mk import MKDetector\n",
    "\n",
    "detector = MKDetector(data=tsd, threshold=.8)\n",
    "# run detector\n",
    "detected_time_points = detector.detector(direction='down', window_size=20, freq='weekly')\n",
    "# plot the results\n",
    "detector.plot(detected_time_points)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Interpret the results\n",
    "The return type of the `detector` method is `List[Tuple[TimeSeriesChangePoint, MKMetadata]]`.  Each `TimeSeriesChangePoint` returned is the beginning of an increasing or decreasing trend window of duration `window_size`.  In our example, we are looking for decreasing trend windows of length 20."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "TimeSeriesChangePoint(start_time: 2020-10-03 00:00:00, end_time: 2020-10-03 00:00:00, confidence: 0.9999998244557637)"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cp, meta = detected_time_points[0]\n",
    "cp"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The attributes of `MKMetadata` are:\n",
    "* **detector_type:** Always `kats.detectors.trend_mk.MKDetector`     \n",
    "* **is_multivariate:** Whether this is a change point for a multivariate time seires\n",
    "* **trend_direction:** Direction of the trend, either 'increasing' or 'decreasing'\n",
    "* **Tau:** kendall's Tau value for the change point.  This is a float for univariate time series and a dictionary for multivariate time series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'_detector_type': kats.detectors.trend_mk.MKDetector,\n",
       " '_is_multivariate': False,\n",
       " '_trend_direction': 'decreasing',\n",
       " '_Tau': -0.8526315789473684}"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "meta.__dict__"
   ]
  }
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